5y-(3y+7)=y+9

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Solution for 5y-(3y+7)=y+9 equation:


Simplifying
5y + -1(3y + 7) = y + 9

Reorder the terms:
5y + -1(7 + 3y) = y + 9
5y + (7 * -1 + 3y * -1) = y + 9
5y + (-7 + -3y) = y + 9

Reorder the terms:
-7 + 5y + -3y = y + 9

Combine like terms: 5y + -3y = 2y
-7 + 2y = y + 9

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

Solving
-7 + 2y = 9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-7 + 2y + -1y = 9 + y + -1y

Combine like terms: 2y + -1y = 1y
-7 + 1y = 9 + y + -1y

Combine like terms: y + -1y = 0
-7 + 1y = 9 + 0
-7 + 1y = 9

Add '7' to each side of the equation.
-7 + 7 + 1y = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 1y = 9 + 7
1y = 9 + 7

Combine like terms: 9 + 7 = 16
1y = 16

Divide each side by '1'.
y = 16

Simplifying
y = 16

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