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

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


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

Reorder the terms:
-5(-3 + 4y) + -1y = -4(y + -4)
(-3 * -5 + 4y * -5) + -1y = -4(y + -4)
(15 + -20y) + -1y = -4(y + -4)

Combine like terms: -20y + -1y = -21y
15 + -21y = -4(y + -4)

Reorder the terms:
15 + -21y = -4(-4 + y)
15 + -21y = (-4 * -4 + y * -4)
15 + -21y = (16 + -4y)

Solving
15 + -21y = 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.
15 + -21y + 4y = 16 + -4y + 4y

Combine like terms: -21y + 4y = -17y
15 + -17y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + -17y = 16 + 0
15 + -17y = 16

Add '-15' to each side of the equation.
15 + -15 + -17y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + -17y = 16 + -15
-17y = 16 + -15

Combine like terms: 16 + -15 = 1
-17y = 1

Divide each side by '-17'.
y = -0.05882352941

Simplifying
y = -0.05882352941

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