3(y+2)-4(2y-1)=8

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Solution for 3(y+2)-4(2y-1)=8 equation: 


Simplifying
3(y + 2) + -4(2y + -1) = 8

Reorder the terms:
3(2 + y) + -4(2y + -1) = 8
(2 * 3 + y * 3) + -4(2y + -1) = 8
(6 + 3y) + -4(2y + -1) = 8

Reorder the terms:
6 + 3y + -4(-1 + 2y) = 8
6 + 3y + (-1 * -4 + 2y * -4) = 8
6 + 3y + (4 + -8y) = 8

Reorder the terms:
6 + 4 + 3y + -8y = 8

Combine like terms: 6 + 4 = 10
10 + 3y + -8y = 8

Combine like terms: 3y + -8y = -5y
10 + -5y = 8

Solving
10 + -5y = 8

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -5y = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = 8 + -10
-5y = 8 + -10

Combine like terms: 8 + -10 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4

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