5y-4=2y+7

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Solution for 5y-4=2y+7 equation:


Simplifying
5y + -4 = 2y + 7

Reorder the terms:
-4 + 5y = 2y + 7

Reorder the terms:
-4 + 5y = 7 + 2y

Solving
-4 + 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.
-4 + 5y + -2y = 7 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-4 + 3y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 3y = 7 + 0
-4 + 3y = 7

Add '4' to each side of the equation.
-4 + 4 + 3y = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 7 + 4
3y = 7 + 4

Combine like terms: 7 + 4 = 11
3y = 11

Divide each side by '3'.
y = 3.666666667

Simplifying
y = 3.666666667

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