6y-5(y-4)+2=9

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Solution for 6y-5(y-4)+2=9 equation:


Simplifying
6y + -5(y + -4) + 2 = 9

Reorder the terms:
6y + -5(-4 + y) + 2 = 9
6y + (-4 * -5 + y * -5) + 2 = 9
6y + (20 + -5y) + 2 = 9

Reorder the terms:
20 + 2 + 6y + -5y = 9

Combine like terms: 20 + 2 = 22
22 + 6y + -5y = 9

Combine like terms: 6y + -5y = 1y
22 + 1y = 9

Solving
22 + 1y = 9

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + 1y = 9 + -22

Combine like terms: 22 + -22 = 0
0 + 1y = 9 + -22
1y = 9 + -22

Combine like terms: 9 + -22 = -13
1y = -13

Divide each side by '1'.
y = -13

Simplifying
y = -13

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