To determine if each value of \( y \) is a solution to the equation \(-10 = 6y - 4\), we need to substitute each value of \( y \) into the equation and see if it results in a true statement.
First, we'll rewrite the equation in a more manageable form:
\[ 6y - 4 = -10 \]
Now, let's solve for \( y \) to find the value that satisfies the equation:
\[ 6y - 4 + 4 = -10 + 4 \] \[ 6y = -6 \] \[ y = \frac{-6}{6} = -1 \]
Now, let's check each given \( y \) value to see if it equals \(-1\):
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\( y = 0 \): \[ 6(0) - 4 = -4 \quad \text{(not a solution)} \]
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\( y = 5 \): \[ 6(5) - 4 = 30 - 4 = 26 \quad \text{(not a solution)} \]
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\( y = 9 \): \[ 6(9) - 4 = 54 - 4 = 50 \quad \text{(not a solution)} \]
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\( y = -3 \): \[ 6(-3) - 4 = -18 - 4 = -22 \quad \text{(not a solution)} \]
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\( y = -6 \): \[ 6(-6) - 4 = -36 - 4 = -40 \quad \text{(not a solution)} \]
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\( y = 10 \): \[ 6(10) - 4 = 60 - 4 = 56 \quad \text{(not a solution)} \]
After checking all the values, we can confirm that none of the given \( y \) values satisfy the equation \(-10 = 6y - 4\).
Summary: None of the provided \( y \) values (\( 0, 5, 9, -3, -6, 10 \)) are solutions to the equation.