4y-9=5y-2

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Solution for 4y-9=5y-2 equation:


Simplifying
4y + -9 = 5y + -2

Reorder the terms:
-9 + 4y = 5y + -2

Reorder the terms:
-9 + 4y = -2 + 5y

Solving
-9 + 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.
-9 + 4y + -5y = -2 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-9 + -1y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-9 + -1y = -2 + 0
-9 + -1y = -2

Add '9' to each side of the equation.
-9 + 9 + -1y = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -2 + 9
-1y = -2 + 9

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

Divide each side by '-1'.
y = -7

Simplifying
y = -7

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