2y+3(y-1)=32

Solution for 2y+3(y-1)=32 equation:

Simplifying
2y + 3(y + -1) = 32

Reorder the terms:
2y + 3(-1 + y) = 32
2y + (-1 * 3 + y * 3) = 32
2y + (-3 + 3y) = 32

Reorder the terms:
-3 + 2y + 3y = 32

Combine like terms: 2y + 3y = 5y
-3 + 5y = 32

Solving
-3 + 5y = 32

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 5y = 32 + 3

Combine like terms: -3 + 3 = 0
0 + 5y = 32 + 3
5y = 32 + 3

Combine like terms: 32 + 3 = 35
5y = 35

Divide each side by '5'.
y = 7

Simplifying
y = 7