2(y+5)-4(7-3y)=-74

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Solution for 2(y+5)-4(7-3y)=-74 equation:


Simplifying
2(y + 5) + -4(7 + -3y) = -74

Reorder the terms:
2(5 + y) + -4(7 + -3y) = -74
(5 * 2 + y * 2) + -4(7 + -3y) = -74
(10 + 2y) + -4(7 + -3y) = -74
10 + 2y + (7 * -4 + -3y * -4) = -74
10 + 2y + (-28 + 12y) = -74

Reorder the terms:
10 + -28 + 2y + 12y = -74

Combine like terms: 10 + -28 = -18
-18 + 2y + 12y = -74

Combine like terms: 2y + 12y = 14y
-18 + 14y = -74

Solving
-18 + 14y = -74

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 14y = -74 + 18

Combine like terms: -18 + 18 = 0
0 + 14y = -74 + 18
14y = -74 + 18

Combine like terms: -74 + 18 = -56
14y = -56

Divide each side by '14'.
y = -4

Simplifying
y = -4

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