2(3y-7)=-y+28

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Solution for 2(3y-7)=-y+28 equation:


Simplifying
2(3y + -7) = -1y + 28

Reorder the terms:
2(-7 + 3y) = -1y + 28
(-7 * 2 + 3y * 2) = -1y + 28
(-14 + 6y) = -1y + 28

Reorder the terms:
-14 + 6y = 28 + -1y

Solving
-14 + 6y = 28 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-14 + 6y + y = 28 + -1y + y

Combine like terms: 6y + y = 7y
-14 + 7y = 28 + -1y + y

Combine like terms: -1y + y = 0
-14 + 7y = 28 + 0
-14 + 7y = 28

Add '14' to each side of the equation.
-14 + 14 + 7y = 28 + 14

Combine like terms: -14 + 14 = 0
0 + 7y = 28 + 14
7y = 28 + 14

Combine like terms: 28 + 14 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6

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