-4(5y-7)-y=-4(y-4)

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Solution for -4(5y-7)-y=-4(y-4) equation:


Simplifying
-4(5y + -7) + -1y = -4(y + -4)

Reorder the terms:
-4(-7 + 5y) + -1y = -4(y + -4)
(-7 * -4 + 5y * -4) + -1y = -4(y + -4)
(28 + -20y) + -1y = -4(y + -4)

Combine like terms: -20y + -1y = -21y
28 + -21y = -4(y + -4)

Reorder the terms:
28 + -21y = -4(-4 + y)
28 + -21y = (-4 * -4 + y * -4)
28 + -21y = (16 + -4y)

Solving
28 + -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.
28 + -21y + 4y = 16 + -4y + 4y

Combine like terms: -21y + 4y = -17y
28 + -17y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
28 + -17y = 16 + 0
28 + -17y = 16

Add '-28' to each side of the equation.
28 + -28 + -17y = 16 + -28

Combine like terms: 28 + -28 = 0
0 + -17y = 16 + -28
-17y = 16 + -28

Combine like terms: 16 + -28 = -12
-17y = -12

Divide each side by '-17'.
y = 0.7058823529

Simplifying
y = 0.7058823529

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