2(2y+7)-(y-4)=0

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Solution for 2(2y+7)-(y-4)=0 equation:


Simplifying
2(2y + 7) + -1(y + -4) = 0

Reorder the terms:
2(7 + 2y) + -1(y + -4) = 0
(7 * 2 + 2y * 2) + -1(y + -4) = 0
(14 + 4y) + -1(y + -4) = 0

Reorder the terms:
14 + 4y + -1(-4 + y) = 0
14 + 4y + (-4 * -1 + y * -1) = 0
14 + 4y + (4 + -1y) = 0

Reorder the terms:
14 + 4 + 4y + -1y = 0

Combine like terms: 14 + 4 = 18
18 + 4y + -1y = 0

Combine like terms: 4y + -1y = 3y
18 + 3y = 0

Solving
18 + 3y = 0

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 3y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 3y = 0 + -18
3y = 0 + -18

Combine like terms: 0 + -18 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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