7(y+5)=2y+10

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Solution for 7(y+5)=2y+10 equation: 


Simplifying
7(y + 5) = 2y + 10

Reorder the terms:
7(5 + y) = 2y + 10
(5 * 7 + y * 7) = 2y + 10
(35 + 7y) = 2y + 10

Reorder the terms:
35 + 7y = 10 + 2y

Solving
35 + 7y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
35 + 7y + -2y = 10 + 2y + -2y

Combine like terms: 7y + -2y = 5y
35 + 5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
35 + 5y = 10 + 0
35 + 5y = 10

Add '-35' to each side of the equation.
35 + -35 + 5y = 10 + -35

Combine like terms: 35 + -35 = 0
0 + 5y = 10 + -35
5y = 10 + -35

Combine like terms: 10 + -35 = -25
5y = -25

Divide each side by '5'.
y = -5

Simplifying
y = -5

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