3(y+3)=7y-7

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


Simplifying
3(y + 3) = 7y + -7

Reorder the terms:
3(3 + y) = 7y + -7
(3 * 3 + y * 3) = 7y + -7
(9 + 3y) = 7y + -7

Reorder the terms:
9 + 3y = -7 + 7y

Solving
9 + 3y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
9 + 3y + -7y = -7 + 7y + -7y

Combine like terms: 3y + -7y = -4y
9 + -4y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
9 + -4y = -7 + 0
9 + -4y = -7

Add '-9' to each side of the equation.
9 + -9 + -4y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = -7 + -9
-4y = -7 + -9

Combine like terms: -7 + -9 = -16
-4y = -16

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

Simplifying
y = 4

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