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

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Solution for 5-y=7(y+4)+1 equation:


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

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

Reorder the terms:
5 + -1y = 28 + 1 + 7y

Combine like terms: 28 + 1 = 29
5 + -1y = 29 + 7y

Solving
5 + -1y = 29 + 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.
5 + -1y + -7y = 29 + 7y + -7y

Combine like terms: -1y + -7y = -8y
5 + -8y = 29 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + -8y = 29 + 0
5 + -8y = 29

Add '-5' to each side of the equation.
5 + -5 + -8y = 29 + -5

Combine like terms: 5 + -5 = 0
0 + -8y = 29 + -5
-8y = 29 + -5

Combine like terms: 29 + -5 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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