5y+3y-11=2y+7

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Solution for 5y+3y-11=2y+7 equation:


Simplifying
5y + 3y + -11 = 2y + 7

Reorder the terms:
-11 + 5y + 3y = 2y + 7

Combine like terms: 5y + 3y = 8y
-11 + 8y = 2y + 7

Reorder the terms:
-11 + 8y = 7 + 2y

Solving
-11 + 8y = 7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-11 + 8y + -2y = 7 + 2y + -2y

Combine like terms: 8y + -2y = 6y
-11 + 6y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-11 + 6y = 7 + 0
-11 + 6y = 7

Add '11' to each side of the equation.
-11 + 11 + 6y = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 6y = 7 + 11
6y = 7 + 11

Combine like terms: 7 + 11 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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