-2y-2(-7y-9)=3+4(5-y)

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Solution for -2y-2(-7y-9)=3+4(5-y) equation: 


Simplifying
-2y + -2(-7y + -9) = 3 + 4(5 + -1y)

Reorder the terms:
-2y + -2(-9 + -7y) = 3 + 4(5 + -1y)
-2y + (-9 * -2 + -7y * -2) = 3 + 4(5 + -1y)
-2y + (18 + 14y) = 3 + 4(5 + -1y)

Reorder the terms:
18 + -2y + 14y = 3 + 4(5 + -1y)

Combine like terms: -2y + 14y = 12y
18 + 12y = 3 + 4(5 + -1y)
18 + 12y = 3 + (5 * 4 + -1y * 4)
18 + 12y = 3 + (20 + -4y)

Combine like terms: 3 + 20 = 23
18 + 12y = 23 + -4y

Solving
18 + 12y = 23 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
18 + 12y + 4y = 23 + -4y + 4y

Combine like terms: 12y + 4y = 16y
18 + 16y = 23 + -4y + 4y

Combine like terms: -4y + 4y = 0
18 + 16y = 23 + 0
18 + 16y = 23

Add '-18' to each side of the equation.
18 + -18 + 16y = 23 + -18

Combine like terms: 18 + -18 = 0
0 + 16y = 23 + -18
16y = 23 + -18

Combine like terms: 23 + -18 = 5
16y = 5

Divide each side by '16'.
y = 0.3125

Simplifying
y = 0.3125

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