2(7y+1)+13=51+8(y-9)

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Solution for 2(7y+1)+13=51+8(y-9) equation: 


Simplifying
2(7y + 1) + 13 = 51 + 8(y + -9)

Reorder the terms:
2(1 + 7y) + 13 = 51 + 8(y + -9)
(1 * 2 + 7y * 2) + 13 = 51 + 8(y + -9)
(2 + 14y) + 13 = 51 + 8(y + -9)

Reorder the terms:
2 + 13 + 14y = 51 + 8(y + -9)

Combine like terms: 2 + 13 = 15
15 + 14y = 51 + 8(y + -9)

Reorder the terms:
15 + 14y = 51 + 8(-9 + y)
15 + 14y = 51 + (-9 * 8 + y * 8)
15 + 14y = 51 + (-72 + 8y)

Combine like terms: 51 + -72 = -21
15 + 14y = -21 + 8y

Solving
15 + 14y = -21 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
15 + 14y + -8y = -21 + 8y + -8y

Combine like terms: 14y + -8y = 6y
15 + 6y = -21 + 8y + -8y

Combine like terms: 8y + -8y = 0
15 + 6y = -21 + 0
15 + 6y = -21

Add '-15' to each side of the equation.
15 + -15 + 6y = -21 + -15

Combine like terms: 15 + -15 = 0
0 + 6y = -21 + -15
6y = -21 + -15

Combine like terms: -21 + -15 = -36
6y = -36

Divide each side by '6'.
y = -6

Simplifying
y = -6

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