-4(4y-7)-4=-3(y-5)

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Solution for -4(4y-7)-4=-3(y-5) equation:


Simplifying
-4(4y + -7) + -4 = -3(y + -5)

Reorder the terms:
-4(-7 + 4y) + -4 = -3(y + -5)
(-7 * -4 + 4y * -4) + -4 = -3(y + -5)
(28 + -16y) + -4 = -3(y + -5)

Reorder the terms:
28 + -4 + -16y = -3(y + -5)

Combine like terms: 28 + -4 = 24
24 + -16y = -3(y + -5)

Reorder the terms:
24 + -16y = -3(-5 + y)
24 + -16y = (-5 * -3 + y * -3)
24 + -16y = (15 + -3y)

Solving
24 + -16y = 15 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
24 + -16y + 3y = 15 + -3y + 3y

Combine like terms: -16y + 3y = -13y
24 + -13y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
24 + -13y = 15 + 0
24 + -13y = 15

Add '-24' to each side of the equation.
24 + -24 + -13y = 15 + -24

Combine like terms: 24 + -24 = 0
0 + -13y = 15 + -24
-13y = 15 + -24

Combine like terms: 15 + -24 = -9
-13y = -9

Divide each side by '-13'.
y = 0.6923076923

Simplifying
y = 0.6923076923

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