3y+3+(2y+7)=9y-14

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Solution for 3y+3+(2y+7)=9y-14 equation:


Simplifying
3y + 3 + (2y + 7) = 9y + -14

Reorder the terms:
3y + 3 + (7 + 2y) = 9y + -14

Remove parenthesis around (7 + 2y)
3y + 3 + 7 + 2y = 9y + -14

Reorder the terms:
3 + 7 + 3y + 2y = 9y + -14

Combine like terms: 3 + 7 = 10
10 + 3y + 2y = 9y + -14

Combine like terms: 3y + 2y = 5y
10 + 5y = 9y + -14

Reorder the terms:
10 + 5y = -14 + 9y

Solving
10 + 5y = -14 + 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.
10 + 5y + -9y = -14 + 9y + -9y

Combine like terms: 5y + -9y = -4y
10 + -4y = -14 + 9y + -9y

Combine like terms: 9y + -9y = 0
10 + -4y = -14 + 0
10 + -4y = -14

Add '-10' to each side of the equation.
10 + -10 + -4y = -14 + -10

Combine like terms: 10 + -10 = 0
0 + -4y = -14 + -10
-4y = -14 + -10

Combine like terms: -14 + -10 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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