-3(y-7)=7(4-y)-8

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Solution for -3(y-7)=7(4-y)-8 equation: 


Simplifying
-3(y + -7) = 7(4 + -1y) + -8

Reorder the terms:
-3(-7 + y) = 7(4 + -1y) + -8
(-7 * -3 + y * -3) = 7(4 + -1y) + -8
(21 + -3y) = 7(4 + -1y) + -8
21 + -3y = (4 * 7 + -1y * 7) + -8
21 + -3y = (28 + -7y) + -8

Reorder the terms:
21 + -3y = 28 + -8 + -7y

Combine like terms: 28 + -8 = 20
21 + -3y = 20 + -7y

Solving
21 + -3y = 20 + -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.
21 + -3y + 7y = 20 + -7y + 7y

Combine like terms: -3y + 7y = 4y
21 + 4y = 20 + -7y + 7y

Combine like terms: -7y + 7y = 0
21 + 4y = 20 + 0
21 + 4y = 20

Add '-21' to each side of the equation.
21 + -21 + 4y = 20 + -21

Combine like terms: 21 + -21 = 0
0 + 4y = 20 + -21
4y = 20 + -21

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

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25

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