-3(5y-1)+8y=2(y+3)

Solution for -3(5y-1)+8y=2(y+3) equation:

Simplifying
-3(5y + -1) + 8y = 2(y + 3)

Reorder the terms:
-3(-1 + 5y) + 8y = 2(y + 3)
(-1 * -3 + 5y * -3) + 8y = 2(y + 3)
(3 + -15y) + 8y = 2(y + 3)

Combine like terms: -15y + 8y = -7y
3 + -7y = 2(y + 3)

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

Solving
3 + -7y = 6 + 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.
3 + -7y + -2y = 6 + 2y + -2y

Combine like terms: -7y + -2y = -9y
3 + -9y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + -9y = 6 + 0
3 + -9y = 6

Add '-3' to each side of the equation.
3 + -3 + -9y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -9y = 6 + -3
-9y = 6 + -3

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

Divide each side by '-9'.
y = -0.3333333333

Simplifying
y = -0.3333333333