4(y+3)-(4y-2)=4(4y+3)+18

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Solution for 4(y+3)-(4y-2)=4(4y+3)+18 equation:


Simplifying
4(y + 3) + -1(4y + -2) = 4(4y + 3) + 18

Reorder the terms:
4(3 + y) + -1(4y + -2) = 4(4y + 3) + 18
(3 * 4 + y * 4) + -1(4y + -2) = 4(4y + 3) + 18
(12 + 4y) + -1(4y + -2) = 4(4y + 3) + 18

Reorder the terms:
12 + 4y + -1(-2 + 4y) = 4(4y + 3) + 18
12 + 4y + (-2 * -1 + 4y * -1) = 4(4y + 3) + 18
12 + 4y + (2 + -4y) = 4(4y + 3) + 18

Reorder the terms:
12 + 2 + 4y + -4y = 4(4y + 3) + 18

Combine like terms: 12 + 2 = 14
14 + 4y + -4y = 4(4y + 3) + 18

Combine like terms: 4y + -4y = 0
14 + 0 = 4(4y + 3) + 18
14 = 4(4y + 3) + 18

Reorder the terms:
14 = 4(3 + 4y) + 18
14 = (3 * 4 + 4y * 4) + 18
14 = (12 + 16y) + 18

Reorder the terms:
14 = 12 + 18 + 16y

Combine like terms: 12 + 18 = 30
14 = 30 + 16y

Solving
14 = 30 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
14 + -16y = 30 + 16y + -16y

Combine like terms: 16y + -16y = 0
14 + -16y = 30 + 0
14 + -16y = 30

Add '-14' to each side of the equation.
14 + -14 + -16y = 30 + -14

Combine like terms: 14 + -14 = 0
0 + -16y = 30 + -14
-16y = 30 + -14

Combine like terms: 30 + -14 = 16
-16y = 16

Divide each side by '-16'.
y = -1

Simplifying
y = -1

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