6y-5(y-6)+1=9

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Solution for 6y-5(y-6)+1=9 equation:


Simplifying
6y + -5(y + -6) + 1 = 9

Reorder the terms:
6y + -5(-6 + y) + 1 = 9
6y + (-6 * -5 + y * -5) + 1 = 9
6y + (30 + -5y) + 1 = 9

Reorder the terms:
30 + 1 + 6y + -5y = 9

Combine like terms: 30 + 1 = 31
31 + 6y + -5y = 9

Combine like terms: 6y + -5y = 1y
31 + 1y = 9

Solving
31 + 1y = 9

Solving for variable 'y'.

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

Add '-31' to each side of the equation.
31 + -31 + 1y = 9 + -31

Combine like terms: 31 + -31 = 0
0 + 1y = 9 + -31
1y = 9 + -31

Combine like terms: 9 + -31 = -22
1y = -22

Divide each side by '1'.
y = -22

Simplifying
y = -22

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