2y+8=5y-10

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Solution for 2y+8=5y-10 equation:


Simplifying
2y + 8 = 5y + -10

Reorder the terms:
8 + 2y = 5y + -10

Reorder the terms:
8 + 2y = -10 + 5y

Solving
8 + 2y = -10 + 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.
8 + 2y + -5y = -10 + 5y + -5y

Combine like terms: 2y + -5y = -3y
8 + -3y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -3y = -10 + 0
8 + -3y = -10

Add '-8' to each side of the equation.
8 + -8 + -3y = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = -10 + -8
-3y = -10 + -8

Combine like terms: -10 + -8 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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