5(y-2)=2(y-3)-12

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Solution for 5(y-2)=2(y-3)-12 equation:


Simplifying
5(y + -2) = 2(y + -3) + -12

Reorder the terms:
5(-2 + y) = 2(y + -3) + -12
(-2 * 5 + y * 5) = 2(y + -3) + -12
(-10 + 5y) = 2(y + -3) + -12

Reorder the terms:
-10 + 5y = 2(-3 + y) + -12
-10 + 5y = (-3 * 2 + y * 2) + -12
-10 + 5y = (-6 + 2y) + -12

Reorder the terms:
-10 + 5y = -6 + -12 + 2y

Combine like terms: -6 + -12 = -18
-10 + 5y = -18 + 2y

Solving
-10 + 5y = -18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-10 + 5y + -2y = -18 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-10 + 3y = -18 + 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 3y = -18 + 0
-10 + 3y = -18

Add '10' to each side of the equation.
-10 + 10 + 3y = -18 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = -18 + 10
3y = -18 + 10

Combine like terms: -18 + 10 = -8
3y = -8

Divide each side by '3'.
y = -2.666666667

Simplifying
y = -2.666666667

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