Find y-(2-y)=4(1+y)

1 answer

Simplifying the expression on the left side:

y - (2 - y) = y - 2 + y = 2y - 2

Distributing the 4 on the right side:

4(1 + y) = 4 + 4y

Putting both sides together:

2y - 2 = 4 + 4y

Subtracting 2y from both sides:

-2 = 4y + 4

Subtracting 4 from both sides:

-6 = 4y

Dividing by 4 on both sides:

y = -1.5

Therefore, y - (2 - y) = 4(1 + y) simplifies to -1.5 - (-3.5) = 4(0.5), which is true.