2(4y-1)+15=5(y-1)-(4y+4)

Solution for 2(4y-1)+15=5(y-1)-(4y+4) equation:

Simplifying
2(4y + -1) + 15 = 5(y + -1) + -1(4y + 4)

Reorder the terms:
2(-1 + 4y) + 15 = 5(y + -1) + -1(4y + 4)
(-1 * 2 + 4y * 2) + 15 = 5(y + -1) + -1(4y + 4)
(-2 + 8y) + 15 = 5(y + -1) + -1(4y + 4)

Reorder the terms:
-2 + 15 + 8y = 5(y + -1) + -1(4y + 4)

Combine like terms: -2 + 15 = 13
13 + 8y = 5(y + -1) + -1(4y + 4)

Reorder the terms:
13 + 8y = 5(-1 + y) + -1(4y + 4)
13 + 8y = (-1 * 5 + y * 5) + -1(4y + 4)
13 + 8y = (-5 + 5y) + -1(4y + 4)

Reorder the terms:
13 + 8y = -5 + 5y + -1(4 + 4y)
13 + 8y = -5 + 5y + (4 * -1 + 4y * -1)
13 + 8y = -5 + 5y + (-4 + -4y)

Reorder the terms:
13 + 8y = -5 + -4 + 5y + -4y

Combine like terms: -5 + -4 = -9
13 + 8y = -9 + 5y + -4y

Combine like terms: 5y + -4y = 1y
13 + 8y = -9 + 1y

Solving
13 + 8y = -9 + 1y

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.
13 + 8y + -1y = -9 + 1y + -1y

Combine like terms: 8y + -1y = 7y
13 + 7y = -9 + 1y + -1y

Combine like terms: 1y + -1y = 0
13 + 7y = -9 + 0
13 + 7y = -9

Add '-13' to each side of the equation.
13 + -13 + 7y = -9 + -13

Combine like terms: 13 + -13 = 0
0 + 7y = -9 + -13
7y = -9 + -13

Combine like terms: -9 + -13 = -22
7y = -22

Divide each side by '7'.
y = -3.142857143

Simplifying
y = -3.142857143