-3(y-8)=-7y+40

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Solution for -3(y-8)=-7y+40 equation:


Simplifying
-3(y + -8) = -7y + 40

Reorder the terms:
-3(-8 + y) = -7y + 40
(-8 * -3 + y * -3) = -7y + 40
(24 + -3y) = -7y + 40

Reorder the terms:
24 + -3y = 40 + -7y

Solving
24 + -3y = 40 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
24 + -3y + 7y = 40 + -7y + 7y

Combine like terms: -3y + 7y = 4y
24 + 4y = 40 + -7y + 7y

Combine like terms: -7y + 7y = 0
24 + 4y = 40 + 0
24 + 4y = 40

Add '-24' to each side of the equation.
24 + -24 + 4y = 40 + -24

Combine like terms: 24 + -24 = 0
0 + 4y = 40 + -24
4y = 40 + -24

Combine like terms: 40 + -24 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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