-7(y+3)+3y+6=5y+7

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Solution for -7(y+3)+3y+6=5y+7 equation:


Simplifying
-7(y + 3) + 3y + 6 = 5y + 7

Reorder the terms:
-7(3 + y) + 3y + 6 = 5y + 7
(3 * -7 + y * -7) + 3y + 6 = 5y + 7
(-21 + -7y) + 3y + 6 = 5y + 7

Reorder the terms:
-21 + 6 + -7y + 3y = 5y + 7

Combine like terms: -21 + 6 = -15
-15 + -7y + 3y = 5y + 7

Combine like terms: -7y + 3y = -4y
-15 + -4y = 5y + 7

Reorder the terms:
-15 + -4y = 7 + 5y

Solving
-15 + -4y = 7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-15 + -4y + -5y = 7 + 5y + -5y

Combine like terms: -4y + -5y = -9y
-15 + -9y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + -9y = 7 + 0
-15 + -9y = 7

Add '15' to each side of the equation.
-15 + 15 + -9y = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -9y = 7 + 15
-9y = 7 + 15

Combine like terms: 7 + 15 = 22
-9y = 22

Divide each side by '-9'.
y = -2.444444444

Simplifying
y = -2.444444444

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