15-(3-4y)=2(y+2)

Solution for 15-(3-4y)=2(y+2) equation:

Simplifying
15 + -1(3 + -4y) = 2(y + 2)
15 + (3 * -1 + -4y * -1) = 2(y + 2)
15 + (-3 + 4y) = 2(y + 2)

Combine like terms: 15 + -3 = 12
12 + 4y = 2(y + 2)

Reorder the terms:
12 + 4y = 2(2 + y)
12 + 4y = (2 * 2 + y * 2)
12 + 4y = (4 + 2y)

Solving
12 + 4y = 4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
12 + 4y + -2y = 4 + 2y + -2y

Combine like terms: 4y + -2y = 2y
12 + 2y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 2y = 4 + 0
12 + 2y = 4

Add '-12' to each side of the equation.
12 + -12 + 2y = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 4 + -12
2y = 4 + -12

Combine like terms: 4 + -12 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4