5y-6=2y+7

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Solution for 5y-6=2y+7 equation:


Simplifying
5y + -6 = 2y + 7

Reorder the terms:
-6 + 5y = 2y + 7

Reorder the terms:
-6 + 5y = 7 + 2y

Solving
-6 + 5y = 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.
-6 + 5y + -2y = 7 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-6 + 3y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 3y = 7 + 0
-6 + 3y = 7

Add '6' to each side of the equation.
-6 + 6 + 3y = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = 7 + 6
3y = 7 + 6

Combine like terms: 7 + 6 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333

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