10-(4y-8)=4-5y

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Solution for 10-(4y-8)=4-5y equation: 


Simplifying
10 + -1(4y + -8) = 4 + -5y

Reorder the terms:
10 + -1(-8 + 4y) = 4 + -5y
10 + (-8 * -1 + 4y * -1) = 4 + -5y
10 + (8 + -4y) = 4 + -5y

Combine like terms: 10 + 8 = 18
18 + -4y = 4 + -5y

Solving
18 + -4y = 4 + -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.
18 + -4y + 5y = 4 + -5y + 5y

Combine like terms: -4y + 5y = 1y
18 + 1y = 4 + -5y + 5y

Combine like terms: -5y + 5y = 0
18 + 1y = 4 + 0
18 + 1y = 4

Add '-18' to each side of the equation.
18 + -18 + 1y = 4 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 4 + -18
1y = 4 + -18

Combine like terms: 4 + -18 = -14
1y = -14

Divide each side by '1'.
y = -14

Simplifying
y = -14

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