3(y-6)=10-2y

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Solution for 3(y-6)=10-2y equation:


Simplifying
3(y + -6) = 10 + -2y

Reorder the terms:
3(-6 + y) = 10 + -2y
(-6 * 3 + y * 3) = 10 + -2y
(-18 + 3y) = 10 + -2y

Solving
-18 + 3y = 10 + -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.
-18 + 3y + 2y = 10 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-18 + 5y = 10 + 0
-18 + 5y = 10

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

Combine like terms: -18 + 18 = 0
0 + 5y = 10 + 18
5y = 10 + 18

Combine like terms: 10 + 18 = 28
5y = 28

Divide each side by '5'.
y = 5.6

Simplifying
y = 5.6

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