-3(5y-10)+2(3y+9)=m

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Solution for -3(5y-10)+2(3y+9)=m equation: 


Simplifying
-3(5y + -10) + 2(3y + 9) = m

Reorder the terms:
-3(-10 + 5y) + 2(3y + 9) = m
(-10 * -3 + 5y * -3) + 2(3y + 9) = m
(30 + -15y) + 2(3y + 9) = m

Reorder the terms:
30 + -15y + 2(9 + 3y) = m
30 + -15y + (9 * 2 + 3y * 2) = m
30 + -15y + (18 + 6y) = m

Reorder the terms:
30 + 18 + -15y + 6y = m

Combine like terms: 30 + 18 = 48
48 + -15y + 6y = m

Combine like terms: -15y + 6y = -9y
48 + -9y = m

Solving
48 + -9y = m

Solving for variable 'y'.

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

Add '-48' to each side of the equation.
48 + -48 + -9y = -48 + m

Combine like terms: 48 + -48 = 0
0 + -9y = -48 + m
-9y = -48 + m

Divide each side by '-9'.
y = 5.333333333 + -0.1111111111m

Simplifying
y = 5.333333333 + -0.1111111111m

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