2(y-9)=8y-36

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Solution for 2(y-9)=8y-36 equation:


Simplifying
2(y + -9) = 8y + -36

Reorder the terms:
2(-9 + y) = 8y + -36
(-9 * 2 + y * 2) = 8y + -36
(-18 + 2y) = 8y + -36

Reorder the terms:
-18 + 2y = -36 + 8y

Solving
-18 + 2y = -36 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-18 + 2y + -8y = -36 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-18 + -6y = -36 + 8y + -8y

Combine like terms: 8y + -8y = 0
-18 + -6y = -36 + 0
-18 + -6y = -36

Add '18' to each side of the equation.
-18 + 18 + -6y = -36 + 18

Combine like terms: -18 + 18 = 0
0 + -6y = -36 + 18
-6y = -36 + 18

Combine like terms: -36 + 18 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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