5y-2=4y+7

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


Simplifying
5y + -2 = 4y + 7

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

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

Solving
-2 + 5y = 7 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y

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

Combine like terms: 4y + -4y = 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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