2(-4y+1)+y=9

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Solution for 2(-4y+1)+y=9 equation: 


Simplifying
2(-4y + 1) + y = 9

Reorder the terms:
2(1 + -4y) + y = 9
(1 * 2 + -4y * 2) + y = 9
(2 + -8y) + y = 9

Combine like terms: -8y + y = -7y
2 + -7y = 9

Solving
2 + -7y = 9

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -7y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = 9 + -2
-7y = 9 + -2

Combine like terms: 9 + -2 = 7
-7y = 7

Divide each side by '-7'.
y = -1

Simplifying
y = -1

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