-4(5y-7)+2(4y+6)=m

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Solution for -4(5y-7)+2(4y+6)=m equation: 


Simplifying
-4(5y + -7) + 2(4y + 6) = m

Reorder the terms:
-4(-7 + 5y) + 2(4y + 6) = m
(-7 * -4 + 5y * -4) + 2(4y + 6) = m
(28 + -20y) + 2(4y + 6) = m

Reorder the terms:
28 + -20y + 2(6 + 4y) = m
28 + -20y + (6 * 2 + 4y * 2) = m
28 + -20y + (12 + 8y) = m

Reorder the terms:
28 + 12 + -20y + 8y = m

Combine like terms: 28 + 12 = 40
40 + -20y + 8y = m

Combine like terms: -20y + 8y = -12y
40 + -12y = m

Solving
40 + -12y = m

Solving for variable 'y'.

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

Add '-40' to each side of the equation.
40 + -40 + -12y = -40 + m

Combine like terms: 40 + -40 = 0
0 + -12y = -40 + m
-12y = -40 + m

Divide each side by '-12'.
y = 3.333333333 + -0.08333333333m

Simplifying
y = 3.333333333 + -0.08333333333m

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