-2(3y-6)+4(5y-8)=42

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Solution for -2(3y-6)+4(5y-8)=42 equation:


Simplifying
-2(3y + -6) + 4(5y + -8) = 42

Reorder the terms:
-2(-6 + 3y) + 4(5y + -8) = 42
(-6 * -2 + 3y * -2) + 4(5y + -8) = 42
(12 + -6y) + 4(5y + -8) = 42

Reorder the terms:
12 + -6y + 4(-8 + 5y) = 42
12 + -6y + (-8 * 4 + 5y * 4) = 42
12 + -6y + (-32 + 20y) = 42

Reorder the terms:
12 + -32 + -6y + 20y = 42

Combine like terms: 12 + -32 = -20
-20 + -6y + 20y = 42

Combine like terms: -6y + 20y = 14y
-20 + 14y = 42

Solving
-20 + 14y = 42

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + 14y = 42 + 20

Combine like terms: -20 + 20 = 0
0 + 14y = 42 + 20
14y = 42 + 20

Combine like terms: 42 + 20 = 62
14y = 62

Divide each side by '14'.
y = 4.428571429

Simplifying
y = 4.428571429

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