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

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


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

Reorder the terms:
-2(2 + y) = y + -4 + 3(5y + 3)
(2 * -2 + y * -2) = y + -4 + 3(5y + 3)
(-4 + -2y) = y + -4 + 3(5y + 3)

Reorder the terms:
-4 + -2y = y + -4 + 3(3 + 5y)
-4 + -2y = y + -4 + (3 * 3 + 5y * 3)
-4 + -2y = y + -4 + (9 + 15y)

Reorder the terms:
-4 + -2y = -4 + 9 + y + 15y

Combine like terms: -4 + 9 = 5
-4 + -2y = 5 + y + 15y

Combine like terms: y + 15y = 16y
-4 + -2y = 5 + 16y

Solving
-4 + -2y = 5 + 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.
-4 + -2y + -16y = 5 + 16y + -16y

Combine like terms: -2y + -16y = -18y
-4 + -18y = 5 + 16y + -16y

Combine like terms: 16y + -16y = 0
-4 + -18y = 5 + 0
-4 + -18y = 5

Add '4' to each side of the equation.
-4 + 4 + -18y = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -18y = 5 + 4
-18y = 5 + 4

Combine like terms: 5 + 4 = 9
-18y = 9

Divide each side by '-18'.
y = -0.5

Simplifying
y = -0.5

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