3y-4(y-2)=10

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Solution for 3y-4(y-2)=10 equation: 


Simplifying
3y + -4(y + -2) = 10

Reorder the terms:
3y + -4(-2 + y) = 10
3y + (-2 * -4 + y * -4) = 10
3y + (8 + -4y) = 10

Reorder the terms:
8 + 3y + -4y = 10

Combine like terms: 3y + -4y = -1y
8 + -1y = 10

Solving
8 + -1y = 10

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 10 + -8
-1y = 10 + -8

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

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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