2(y-7)=-6y+10

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Solution for 2(y-7)=-6y+10 equation:


Simplifying
2(y + -7) = -6y + 10

Reorder the terms:
2(-7 + y) = -6y + 10
(-7 * 2 + y * 2) = -6y + 10
(-14 + 2y) = -6y + 10

Reorder the terms:
-14 + 2y = 10 + -6y

Solving
-14 + 2y = 10 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-14 + 2y + 6y = 10 + -6y + 6y

Combine like terms: 2y + 6y = 8y
-14 + 8y = 10 + -6y + 6y

Combine like terms: -6y + 6y = 0
-14 + 8y = 10 + 0
-14 + 8y = 10

Add '14' to each side of the equation.
-14 + 14 + 8y = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 8y = 10 + 14
8y = 10 + 14

Combine like terms: 10 + 14 = 24
8y = 24

Divide each side by '8'.
y = 3

Simplifying
y = 3

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