7(y+3)+2=5y+13

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Solution for 7(y+3)+2=5y+13 equation: 


Simplifying
7(y + 3) + 2 = 5y + 13

Reorder the terms:
7(3 + y) + 2 = 5y + 13
(3 * 7 + y * 7) + 2 = 5y + 13
(21 + 7y) + 2 = 5y + 13

Reorder the terms:
21 + 2 + 7y = 5y + 13

Combine like terms: 21 + 2 = 23
23 + 7y = 5y + 13

Reorder the terms:
23 + 7y = 13 + 5y

Solving
23 + 7y = 13 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
23 + 7y + -5y = 13 + 5y + -5y

Combine like terms: 7y + -5y = 2y
23 + 2y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
23 + 2y = 13 + 0
23 + 2y = 13

Add '-23' to each side of the equation.
23 + -23 + 2y = 13 + -23

Combine like terms: 23 + -23 = 0
0 + 2y = 13 + -23
2y = 13 + -23

Combine like terms: 13 + -23 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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