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

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


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

Reorder the terms:
-2 + 7y = 3(3y + 3)

Reorder the terms:
-2 + 7y = 3(3 + 3y)
-2 + 7y = (3 * 3 + 3y * 3)
-2 + 7y = (9 + 9y)

Solving
-2 + 7y = 9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-2 + 7y + -9y = 9 + 9y + -9y

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

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

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

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

Combine like terms: 9 + 2 = 11
-2y = 11

Divide each side by '-2'.
y = -5.5

Simplifying
y = -5.5

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