2(5y-7)-y=-4(y-4)

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Solution for 2(5y-7)-y=-4(y-4) equation:


Simplifying
2(5y + -7) + -1y = -4(y + -4)

Reorder the terms:
2(-7 + 5y) + -1y = -4(y + -4)
(-7 * 2 + 5y * 2) + -1y = -4(y + -4)
(-14 + 10y) + -1y = -4(y + -4)

Combine like terms: 10y + -1y = 9y
-14 + 9y = -4(y + -4)

Reorder the terms:
-14 + 9y = -4(-4 + y)
-14 + 9y = (-4 * -4 + y * -4)
-14 + 9y = (16 + -4y)

Solving
-14 + 9y = 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.
-14 + 9y + 4y = 16 + -4y + 4y

Combine like terms: 9y + 4y = 13y
-14 + 13y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-14 + 13y = 16 + 0
-14 + 13y = 16

Add '14' to each side of the equation.
-14 + 14 + 13y = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 13y = 16 + 14
13y = 16 + 14

Combine like terms: 16 + 14 = 30
13y = 30

Divide each side by '13'.
y = 2.307692308

Simplifying
y = 2.307692308

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