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

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

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

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

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

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

Combine like terms: 6 + -2 = 4
-1 + 7y = 4 + 2y

Solving
-1 + 7y = 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.
-1 + 7y + -2y = 4 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-1 + 5y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1 + 5y = 4 + 0
-1 + 5y = 4

Add '1' to each side of the equation.
-1 + 1 + 5y = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 5y = 4 + 1
5y = 4 + 1

Combine like terms: 4 + 1 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1