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

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


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

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

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

Solving
-10 + 6y = 6 + -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 + 6y + 2y = 6 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-10 + 8y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
-10 + 8y = 6 + 0
-10 + 8y = 6

Add '10' to each side of the equation.
-10 + 10 + 8y = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 8y = 6 + 10
8y = 6 + 10

Combine like terms: 6 + 10 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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