4(-3y+1)=-10(y-5)-14y

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Solution for 4(-3y+1)=-10(y-5)-14y equation:


Simplifying
4(-3y + 1) = -10(y + -5) + -14y

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

Reorder the terms:
4 + -12y = -10(-5 + y) + -14y
4 + -12y = (-5 * -10 + y * -10) + -14y
4 + -12y = (50 + -10y) + -14y

Combine like terms: -10y + -14y = -24y
4 + -12y = 50 + -24y

Solving
4 + -12y = 50 + -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.
4 + -12y + 24y = 50 + -24y + 24y

Combine like terms: -12y + 24y = 12y
4 + 12y = 50 + -24y + 24y

Combine like terms: -24y + 24y = 0
4 + 12y = 50 + 0
4 + 12y = 50

Add '-4' to each side of the equation.
4 + -4 + 12y = 50 + -4

Combine like terms: 4 + -4 = 0
0 + 12y = 50 + -4
12y = 50 + -4

Combine like terms: 50 + -4 = 46
12y = 46

Divide each side by '12'.
y = 3.833333333

Simplifying
y = 3.833333333

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