5y+8=4y-2

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Solution for 5y+8=4y-2 equation:


Simplifying
5y + 8 = 4y + -2

Reorder the terms:
8 + 5y = 4y + -2

Reorder the terms:
8 + 5y = -2 + 4y

Solving
8 + 5y = -2 + 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.
8 + 5y + -4y = -2 + 4y + -4y

Combine like terms: 5y + -4y = 1y
8 + 1y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + 1y = -2 + 0
8 + 1y = -2

Add '-8' to each side of the equation.
8 + -8 + 1y = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 1y = -2 + -8
1y = -2 + -8

Combine like terms: -2 + -8 = -10
1y = -10

Divide each side by '1'.
y = -10

Simplifying
y = -10

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