y-(3-2y)=7-(1-5y)

Solution for y-(3-2y)=7-(1-5y) equation:

Simplifying
y + -1(3 + -2y) = 7 + -1(1 + -5y)
y + (3 * -1 + -2y * -1) = 7 + -1(1 + -5y)
y + (-3 + 2y) = 7 + -1(1 + -5y)

Reorder the terms:
-3 + y + 2y = 7 + -1(1 + -5y)

Combine like terms: y + 2y = 3y
-3 + 3y = 7 + -1(1 + -5y)
-3 + 3y = 7 + (1 * -1 + -5y * -1)
-3 + 3y = 7 + (-1 + 5y)

Combine like terms: 7 + -1 = 6
-3 + 3y = 6 + 5y

Solving
-3 + 3y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 3y + -5y = 6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-3 + -2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + -2y = 6 + 0
-3 + -2y = 6

Add '3' to each side of the equation.
-3 + 3 + -2y = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 6 + 3
-2y = 6 + 3

Combine like terms: 6 + 3 = 9
-2y = 9

Divide each side by '-2'.
y = -4.5

Simplifying
y = -4.5