4(-3+1)=-10(y-4)-14y

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Solution for 4(-3+1)=-10(y-4)-14y equation:


Simplifying
4(-3 + 1) = -10(y + -4) + -14y

Combine like terms: -3 + 1 = -2
4(-2) = -10(y + -4) + -14y

Multiply 4 * -2
-8 = -10(y + -4) + -14y

Reorder the terms:
-8 = -10(-4 + y) + -14y
-8 = (-4 * -10 + y * -10) + -14y
-8 = (40 + -10y) + -14y

Combine like terms: -10y + -14y = -24y
-8 = 40 + -24y

Solving
-8 = 40 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
-8 + 24y = 40 + -24y + 24y

Combine like terms: -24y + 24y = 0
-8 + 24y = 40 + 0
-8 + 24y = 40

Add '8' to each side of the equation.
-8 + 8 + 24y = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 24y = 40 + 8
24y = 40 + 8

Combine like terms: 40 + 8 = 48
24y = 48

Divide each side by '24'.
y = 2

Simplifying
y = 2

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