Solve for y, then find the value of y when given x = –2. 6x = 7 – 4y

Answer 1

To solve for y, we need to isolate the variable y in the equation 6x = 7 – 4y.

First, let's simplify the equation by distributing the -4 to both terms on the right side:
6x = 7 - 4y -> 6x = 7 + (-4y) -> 6x + 4y = 7

Now, let's isolate the y variable:
6x + 4y = 7 -> 4y = 7 - 6x

Next, divide both sides of the equation by 4 to solve for y:
4y = 7 - 6x -> y = (7 - 6x) / 4

Now, to find the value of y when x = -2, substitute x = -2 into the equation:
y = (7 - 6(-2)) / 4
y = (7 + 12) / 4
y = 19 / 4

Therefore, when x = -2, y = 19/4.