10-(4y-6)=2-5y

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Solution for 10-(4y-6)=2-5y equation: 


Simplifying
10 + -1(4y + -6) = 2 + -5y

Reorder the terms:
10 + -1(-6 + 4y) = 2 + -5y
10 + (-6 * -1 + 4y * -1) = 2 + -5y
10 + (6 + -4y) = 2 + -5y

Combine like terms: 10 + 6 = 16
16 + -4y = 2 + -5y

Solving
16 + -4y = 2 + -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.
16 + -4y + 5y = 2 + -5y + 5y

Combine like terms: -4y + 5y = 1y
16 + 1y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
16 + 1y = 2 + 0
16 + 1y = 2

Add '-16' to each side of the equation.
16 + -16 + 1y = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 1y = 2 + -16
1y = 2 + -16

Combine like terms: 2 + -16 = -14
1y = -14

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

Simplifying
y = -14

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