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

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


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

Reorder the terms:
-5(-5 + 3y) + -1y = -4(y + -4)
(-5 * -5 + 3y * -5) + -1y = -4(y + -4)
(25 + -15y) + -1y = -4(y + -4)

Combine like terms: -15y + -1y = -16y
25 + -16y = -4(y + -4)

Reorder the terms:
25 + -16y = -4(-4 + y)
25 + -16y = (-4 * -4 + y * -4)
25 + -16y = (16 + -4y)

Solving
25 + -16y = 16 + -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.
25 + -16y + 4y = 16 + -4y + 4y

Combine like terms: -16y + 4y = -12y
25 + -12y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
25 + -12y = 16 + 0
25 + -12y = 16

Add '-25' to each side of the equation.
25 + -25 + -12y = 16 + -25

Combine like terms: 25 + -25 = 0
0 + -12y = 16 + -25
-12y = 16 + -25

Combine like terms: 16 + -25 = -9
-12y = -9

Divide each side by '-12'.
y = 0.75

Simplifying
y = 0.75

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