(y-5)6+13-5y=7

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Solution for (y-5)6+13-5y=7 equation: 


Simplifying
(y + -5) * 6 + 13 + -5y = 7

Reorder the terms:
(-5 + y) * 6 + 13 + -5y = 7

Reorder the terms for easier multiplication:
6(-5 + y) + 13 + -5y = 7
(-5 * 6 + y * 6) + 13 + -5y = 7
(-30 + 6y) + 13 + -5y = 7

Reorder the terms:
-30 + 13 + 6y + -5y = 7

Combine like terms: -30 + 13 = -17
-17 + 6y + -5y = 7

Combine like terms: 6y + -5y = 1y
-17 + 1y = 7

Solving
-17 + 1y = 7

Solving for variable 'y'.

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

Add '17' to each side of the equation.
-17 + 17 + 1y = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 1y = 7 + 17
1y = 7 + 17

Combine like terms: 7 + 17 = 24
1y = 24

Divide each side by '1'.
y = 24

Simplifying
y = 24

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