2(y-9)=6y+22

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Solution for 2(y-9)=6y+22 equation:


Simplifying
2(y + -9) = 6y + 22

Reorder the terms:
2(-9 + y) = 6y + 22
(-9 * 2 + y * 2) = 6y + 22
(-18 + 2y) = 6y + 22

Reorder the terms:
-18 + 2y = 22 + 6y

Solving
-18 + 2y = 22 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-18 + 2y + -6y = 22 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-18 + -4y = 22 + 6y + -6y

Combine like terms: 6y + -6y = 0
-18 + -4y = 22 + 0
-18 + -4y = 22

Add '18' to each side of the equation.
-18 + 18 + -4y = 22 + 18

Combine like terms: -18 + 18 = 0
0 + -4y = 22 + 18
-4y = 22 + 18

Combine like terms: 22 + 18 = 40
-4y = 40

Divide each side by '-4'.
y = -10

Simplifying
y = -10

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