4y-7=5y-2

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


Simplifying
4y + -7 = 5y + -2

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

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

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

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

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

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

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

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

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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