2-5(y+8)=7+7y

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Solution for 2-5(y+8)=7+7y equation:


Simplifying
2 + -5(y + 8) = 7 + 7y

Reorder the terms:
2 + -5(8 + y) = 7 + 7y
2 + (8 * -5 + y * -5) = 7 + 7y
2 + (-40 + -5y) = 7 + 7y

Combine like terms: 2 + -40 = -38
-38 + -5y = 7 + 7y

Solving
-38 + -5y = 7 + 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.
-38 + -5y + -7y = 7 + 7y + -7y

Combine like terms: -5y + -7y = -12y
-38 + -12y = 7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-38 + -12y = 7 + 0
-38 + -12y = 7

Add '38' to each side of the equation.
-38 + 38 + -12y = 7 + 38

Combine like terms: -38 + 38 = 0
0 + -12y = 7 + 38
-12y = 7 + 38

Combine like terms: 7 + 38 = 45
-12y = 45

Divide each side by '-12'.
y = -3.75

Simplifying
y = -3.75

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