10y+2-2y=4y-10

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


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

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

Combine like terms: 10y + -2y = 8y
2 + 8y = 4y + -10

Reorder the terms:
2 + 8y = -10 + 4y

Solving
2 + 8y = -10 + 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 + 8y + -4y = -10 + 4y + -4y

Combine like terms: 8y + -4y = 4y
2 + 4y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 4y = -10 + 0
2 + 4y = -10

Add '-2' to each side of the equation.
2 + -2 + 4y = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 4y = -10 + -2
4y = -10 + -2

Combine like terms: -10 + -2 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3

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