-4(5y-6)+2(2y+9)=0

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Solution for -4(5y-6)+2(2y+9)=0 equation:


Simplifying
-4(5y + -6) + 2(2y + 9) = 0

Reorder the terms:
-4(-6 + 5y) + 2(2y + 9) = 0
(-6 * -4 + 5y * -4) + 2(2y + 9) = 0
(24 + -20y) + 2(2y + 9) = 0

Reorder the terms:
24 + -20y + 2(9 + 2y) = 0
24 + -20y + (9 * 2 + 2y * 2) = 0
24 + -20y + (18 + 4y) = 0

Reorder the terms:
24 + 18 + -20y + 4y = 0

Combine like terms: 24 + 18 = 42
42 + -20y + 4y = 0

Combine like terms: -20y + 4y = -16y
42 + -16y = 0

Solving
42 + -16y = 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 + -16y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -16y = 0 + -42
-16y = 0 + -42

Combine like terms: 0 + -42 = -42
-16y = -42

Divide each side by '-16'.
y = 2.625

Simplifying
y = 2.625

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