y+2*(7-y)-5=13*(y-9)

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Solution for y+2*(7-y)-5=13*(y-9) equation: 


Simplifying
y + 2(7 + -1y) + -5 = 13(y + -9)
y + (7 * 2 + -1y * 2) + -5 = 13(y + -9)
y + (14 + -2y) + -5 = 13(y + -9)

Reorder the terms:
14 + -5 + y + -2y = 13(y + -9)

Combine like terms: 14 + -5 = 9
9 + y + -2y = 13(y + -9)

Combine like terms: y + -2y = -1y
9 + -1y = 13(y + -9)

Reorder the terms:
9 + -1y = 13(-9 + y)
9 + -1y = (-9 * 13 + y * 13)
9 + -1y = (-117 + 13y)

Solving
9 + -1y = -117 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
9 + -1y + -13y = -117 + 13y + -13y

Combine like terms: -1y + -13y = -14y
9 + -14y = -117 + 13y + -13y

Combine like terms: 13y + -13y = 0
9 + -14y = -117 + 0
9 + -14y = -117

Add '-9' to each side of the equation.
9 + -9 + -14y = -117 + -9

Combine like terms: 9 + -9 = 0
0 + -14y = -117 + -9
-14y = -117 + -9

Combine like terms: -117 + -9 = -126
-14y = -126

Divide each side by '-14'.
y = 9

Simplifying
y = 9

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