10-3(2y-10)=2y+8

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Solution for 10-3(2y-10)=2y+8 equation: 


Simplifying
10 + -3(2y + -10) = 2y + 8

Reorder the terms:
10 + -3(-10 + 2y) = 2y + 8
10 + (-10 * -3 + 2y * -3) = 2y + 8
10 + (30 + -6y) = 2y + 8

Combine like terms: 10 + 30 = 40
40 + -6y = 2y + 8

Reorder the terms:
40 + -6y = 8 + 2y

Solving
40 + -6y = 8 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
40 + -6y + -2y = 8 + 2y + -2y

Combine like terms: -6y + -2y = -8y
40 + -8y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
40 + -8y = 8 + 0
40 + -8y = 8

Add '-40' to each side of the equation.
40 + -40 + -8y = 8 + -40

Combine like terms: 40 + -40 = 0
0 + -8y = 8 + -40
-8y = 8 + -40

Combine like terms: 8 + -40 = -32
-8y = -32

Divide each side by '-8'.
y = 4

Simplifying
y = 4

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