3(2y-5)-y=-4(y-2)

Solution for 3(2y-5)-y=-4(y-2) equation:

Simplifying
3(2y + -5) + -1y = -4(y + -2)

Reorder the terms:
3(-5 + 2y) + -1y = -4(y + -2)
(-5 * 3 + 2y * 3) + -1y = -4(y + -2)
(-15 + 6y) + -1y = -4(y + -2)

Combine like terms: 6y + -1y = 5y
-15 + 5y = -4(y + -2)

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

Solving
-15 + 5y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-15 + 5y + 4y = 8 + -4y + 4y

Combine like terms: 5y + 4y = 9y
-15 + 9y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
-15 + 9y = 8 + 0
-15 + 9y = 8

Add '15' to each side of the equation.
-15 + 15 + 9y = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 9y = 8 + 15
9y = 8 + 15

Combine like terms: 8 + 15 = 23
9y = 23

Divide each side by '9'.
y = 2.555555556

Simplifying
y = 2.555555556