3(y-4)+2(5-y)=-14

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Solution for 3(y-4)+2(5-y)=-14 equation: 


Simplifying
3(y + -4) + 2(5 + -1y) = -14

Reorder the terms:
3(-4 + y) + 2(5 + -1y) = -14
(-4 * 3 + y * 3) + 2(5 + -1y) = -14
(-12 + 3y) + 2(5 + -1y) = -14
-12 + 3y + (5 * 2 + -1y * 2) = -14
-12 + 3y + (10 + -2y) = -14

Reorder the terms:
-12 + 10 + 3y + -2y = -14

Combine like terms: -12 + 10 = -2
-2 + 3y + -2y = -14

Combine like terms: 3y + -2y = 1y
-2 + 1y = -14

Solving
-2 + 1y = -14

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 + 1y = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = -14 + 2
1y = -14 + 2

Combine like terms: -14 + 2 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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