7y+7(3-y)=2y-9

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Solution for 7y+7(3-y)=2y-9 equation:


Simplifying
7y + 7(3 + -1y) = 2y + -9
7y + (3 * 7 + -1y * 7) = 2y + -9
7y + (21 + -7y) = 2y + -9

Reorder the terms:
21 + 7y + -7y = 2y + -9

Combine like terms: 7y + -7y = 0
21 + 0 = 2y + -9
21 = 2y + -9

Reorder the terms:
21 = -9 + 2y

Solving
21 = -9 + 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.
21 + -2y = -9 + 2y + -2y

Combine like terms: 2y + -2y = 0
21 + -2y = -9 + 0
21 + -2y = -9

Add '-21' to each side of the equation.
21 + -21 + -2y = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -2y = -9 + -21
-2y = -9 + -21

Combine like terms: -9 + -21 = -30
-2y = -30

Divide each side by '-2'.
y = 15

Simplifying
y = 15

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