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

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


Simplifying
3y + -10 = -2(6 + -1y)

Reorder the terms:
-10 + 3y = -2(6 + -1y)
-10 + 3y = (6 * -2 + -1y * -2)
-10 + 3y = (-12 + 2y)

Solving
-10 + 3y = -12 + 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 + 3y + -2y = -12 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-10 + 1y = -12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 1y = -12 + 0
-10 + 1y = -12

Add '10' to each side of the equation.
-10 + 10 + 1y = -12 + 10

Combine like terms: -10 + 10 = 0
0 + 1y = -12 + 10
1y = -12 + 10

Combine like terms: -12 + 10 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2

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