2y-6(y-3)=10

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


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

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

Reorder the terms:
18 + 2y + -6y = 10

Combine like terms: 2y + -6y = -4y
18 + -4y = 10

Solving
18 + -4y = 10

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + -4y = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -4y = 10 + -18
-4y = 10 + -18

Combine like terms: 10 + -18 = -8
-4y = -8

Divide each side by '-4'.
y = 2

Simplifying
y = 2

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