-3(5y-8)+2(3y+9)=

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Solution for -3(5y-8)+2(3y+9)= equation:


Simplifying
-3(5y + -8) + 2(3y + 9) = 0

Reorder the terms:
-3(-8 + 5y) + 2(3y + 9) = 0
(-8 * -3 + 5y * -3) + 2(3y + 9) = 0
(24 + -15y) + 2(3y + 9) = 0

Reorder the terms:
24 + -15y + 2(9 + 3y) = 0
24 + -15y + (9 * 2 + 3y * 2) = 0
24 + -15y + (18 + 6y) = 0

Reorder the terms:
24 + 18 + -15y + 6y = 0

Combine like terms: 24 + 18 = 42
42 + -15y + 6y = 0

Combine like terms: -15y + 6y = -9y
42 + -9y = 0

Solving
42 + -9y = 0

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + -9y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -9y = 0 + -42
-9y = 0 + -42

Combine like terms: 0 + -42 = -42
-9y = -42

Divide each side by '-9'.
y = 4.666666667

Simplifying
y = 4.666666667

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