5y+2=4y-5

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


Simplifying
5y + 2 = 4y + -5

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

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

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

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

Combine like terms: 4y + -4y = 0
2 + 1y = -5 + 0
2 + 1y = -5

Add '-2' to each side of the equation.
2 + -2 + 1y = -5 + -2

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

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

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

Simplifying
y = -7

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