2(3y-6)+4(5y-8)=92

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Solution for 2(3y-6)+4(5y-8)=92 equation:


Simplifying
2(3y + -6) + 4(5y + -8) = 92

Reorder the terms:
2(-6 + 3y) + 4(5y + -8) = 92
(-6 * 2 + 3y * 2) + 4(5y + -8) = 92
(-12 + 6y) + 4(5y + -8) = 92

Reorder the terms:
-12 + 6y + 4(-8 + 5y) = 92
-12 + 6y + (-8 * 4 + 5y * 4) = 92
-12 + 6y + (-32 + 20y) = 92

Reorder the terms:
-12 + -32 + 6y + 20y = 92

Combine like terms: -12 + -32 = -44
-44 + 6y + 20y = 92

Combine like terms: 6y + 20y = 26y
-44 + 26y = 92

Solving
-44 + 26y = 92

Solving for variable 'y'.

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

Add '44' to each side of the equation.
-44 + 44 + 26y = 92 + 44

Combine like terms: -44 + 44 = 0
0 + 26y = 92 + 44
26y = 92 + 44

Combine like terms: 92 + 44 = 136
26y = 136

Divide each side by '26'.
y = 5.230769231

Simplifying
y = 5.230769231

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