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

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


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

Reorder the terms:
-5(-5 + 4y) + -1y = -4(y + -3)
(-5 * -5 + 4y * -5) + -1y = -4(y + -3)
(25 + -20y) + -1y = -4(y + -3)

Combine like terms: -20y + -1y = -21y
25 + -21y = -4(y + -3)

Reorder the terms:
25 + -21y = -4(-3 + y)
25 + -21y = (-3 * -4 + y * -4)
25 + -21y = (12 + -4y)

Solving
25 + -21y = 12 + -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 + -21y + 4y = 12 + -4y + 4y

Combine like terms: -21y + 4y = -17y
25 + -17y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
25 + -17y = 12 + 0
25 + -17y = 12

Add '-25' to each side of the equation.
25 + -25 + -17y = 12 + -25

Combine like terms: 25 + -25 = 0
0 + -17y = 12 + -25
-17y = 12 + -25

Combine like terms: 12 + -25 = -13
-17y = -13

Divide each side by '-17'.
y = 0.7647058824

Simplifying
y = 0.7647058824

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