2(y-9)=10y-2

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Solution for 2(y-9)=10y-2 equation:


Simplifying
2(y + -9) = 10y + -2

Reorder the terms:
2(-9 + y) = 10y + -2
(-9 * 2 + y * 2) = 10y + -2
(-18 + 2y) = 10y + -2

Reorder the terms:
-18 + 2y = -2 + 10y

Solving
-18 + 2y = -2 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-18 + 2y + -10y = -2 + 10y + -10y

Combine like terms: 2y + -10y = -8y
-18 + -8y = -2 + 10y + -10y

Combine like terms: 10y + -10y = 0
-18 + -8y = -2 + 0
-18 + -8y = -2

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

Combine like terms: -18 + 18 = 0
0 + -8y = -2 + 18
-8y = -2 + 18

Combine like terms: -2 + 18 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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