-3(5y-8)+2(4y+5)=m

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


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

Reorder the terms:
-3(-8 + 5y) + 2(4y + 5) = m
(-8 * -3 + 5y * -3) + 2(4y + 5) = m
(24 + -15y) + 2(4y + 5) = m

Reorder the terms:
24 + -15y + 2(5 + 4y) = m
24 + -15y + (5 * 2 + 4y * 2) = m
24 + -15y + (10 + 8y) = m

Reorder the terms:
24 + 10 + -15y + 8y = m

Combine like terms: 24 + 10 = 34
34 + -15y + 8y = m

Combine like terms: -15y + 8y = -7y
34 + -7y = m

Solving
34 + -7y = m

Solving for variable 'y'.

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

Add '-34' to each side of the equation.
34 + -34 + -7y = -34 + m

Combine like terms: 34 + -34 = 0
0 + -7y = -34 + m
-7y = -34 + m

Divide each side by '-7'.
y = 4.857142857 + -0.1428571429m

Simplifying
y = 4.857142857 + -0.1428571429m

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