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

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

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

Reorder the terms:
7y + 2(-3 + y) = (y + 1) + -2
7y + (-3 * 2 + y * 2) = (y + 1) + -2
7y + (-6 + 2y) = (y + 1) + -2

Reorder the terms:
-6 + 7y + 2y = (y + 1) + -2

Combine like terms: 7y + 2y = 9y
-6 + 9y = (y + 1) + -2

Reorder the terms:
-6 + 9y = (1 + y) + -2

Remove parenthesis around (1 + y)
-6 + 9y = 1 + y + -2

Reorder the terms:
-6 + 9y = 1 + -2 + y

Combine like terms: 1 + -2 = -1
-6 + 9y = -1 + y

Solving
-6 + 9y = -1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 9y + -1y = -1 + y + -1y

Combine like terms: 9y + -1y = 8y
-6 + 8y = -1 + y + -1y

Combine like terms: y + -1y = 0
-6 + 8y = -1 + 0
-6 + 8y = -1

Add '6' to each side of the equation.
-6 + 6 + 8y = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = -1 + 6
8y = -1 + 6

Combine like terms: -1 + 6 = 5
8y = 5

Divide each side by '8'.
y = 0.625

Simplifying
y = 0.625