3(4-y)-5(y+2)=3

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Solution for 3(4-y)-5(y+2)=3 equation: 


Simplifying
3(4 + -1y) + -5(y + 2) = 3
(4 * 3 + -1y * 3) + -5(y + 2) = 3
(12 + -3y) + -5(y + 2) = 3

Reorder the terms:
12 + -3y + -5(2 + y) = 3
12 + -3y + (2 * -5 + y * -5) = 3
12 + -3y + (-10 + -5y) = 3

Reorder the terms:
12 + -10 + -3y + -5y = 3

Combine like terms: 12 + -10 = 2
2 + -3y + -5y = 3

Combine like terms: -3y + -5y = -8y
2 + -8y = 3

Solving
2 + -8y = 3

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -8y = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -8y = 3 + -2
-8y = 3 + -2

Combine like terms: 3 + -2 = 1
-8y = 1

Divide each side by '-8'.
y = -0.125

Simplifying
y = -0.125

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