4y-2=5y-10

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Solution for 4y-2=5y-10 equation: 


Simplifying
4y + -2 = 5y + -10

Reorder the terms:
-2 + 4y = 5y + -10

Reorder the terms:
-2 + 4y = -10 + 5y

Solving
-2 + 4y = -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.
-2 + 4y + -5y = -10 + 5y + -5y

Combine like terms: 4y + -5y = -1y
-2 + -1y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + -1y = -10 + 0
-2 + -1y = -10

Add '2' to each side of the equation.
-2 + 2 + -1y = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -10 + 2
-1y = -10 + 2

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

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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