4y+2=5y-7

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


Simplifying
4y + 2 = 5y + -7

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

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

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

Combine like terms: 4y + -5y = -1y
2 + -1y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -1y = -7 + 0
2 + -1y = -7

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

Combine like terms: 2 + -2 = 0
0 + -1y = -7 + -2
-1y = -7 + -2

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

Divide each side by '-1'.
y = 9

Simplifying
y = 9

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