6(2y+3)-4(y-5)=0

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Solution for 6(2y+3)-4(y-5)=0 equation:


Simplifying
6(2y + 3) + -4(y + -5) = 0

Reorder the terms:
6(3 + 2y) + -4(y + -5) = 0
(3 * 6 + 2y * 6) + -4(y + -5) = 0
(18 + 12y) + -4(y + -5) = 0

Reorder the terms:
18 + 12y + -4(-5 + y) = 0
18 + 12y + (-5 * -4 + y * -4) = 0
18 + 12y + (20 + -4y) = 0

Reorder the terms:
18 + 20 + 12y + -4y = 0

Combine like terms: 18 + 20 = 38
38 + 12y + -4y = 0

Combine like terms: 12y + -4y = 8y
38 + 8y = 0

Solving
38 + 8y = 0

Solving for variable 'y'.

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

Add '-38' to each side of the equation.
38 + -38 + 8y = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 8y = 0 + -38
8y = 0 + -38

Combine like terms: 0 + -38 = -38
8y = -38

Divide each side by '8'.
y = -4.75

Simplifying
y = -4.75

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