3(y+1)+2y=5(x-1)+5

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

Simplifying
3(y + 1) + 2y = 5(x + -1) + 5

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

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

Reorder the terms:
3 + 5y = 5(-1 + x) + 5
3 + 5y = (-1 * 5 + x * 5) + 5
3 + 5y = (-5 + 5x) + 5

Reorder the terms:
3 + 5y = -5 + 5 + 5x

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

Solving
3 + 5y = 5x

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 = -3 + 5x

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

Divide each side by '5'.
y = -0.6 + x

Simplifying
y = -0.6 + x