30y+[-(3y+2)-(y+3)]=16y-[3y-(6-9y)]

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Solution for 30y+[-(3y+2)-(y+3)]=16y-[3y-(6-9y)] equation:


Simplifying
30y + [-1(3y + 2) + -1(y + 3)] = 16y + -1[3y + -1(6 + -9y)]

Reorder the terms:
30y + [-1(2 + 3y) + -1(y + 3)] = 16y + -1[3y + -1(6 + -9y)]
30y + [(2 * -1 + 3y * -1) + -1(y + 3)] = 16y + -1[3y + -1(6 + -9y)]
30y + [(-2 + -3y) + -1(y + 3)] = 16y + -1[3y + -1(6 + -9y)]

Reorder the terms:
30y + [-2 + -3y + -1(3 + y)] = 16y + -1[3y + -1(6 + -9y)]
30y + [-2 + -3y + (3 * -1 + y * -1)] = 16y + -1[3y + -1(6 + -9y)]
30y + [-2 + -3y + (-3 + -1y)] = 16y + -1[3y + -1(6 + -9y)]

Reorder the terms:
30y + [-2 + -3 + -3y + -1y] = 16y + -1[3y + -1(6 + -9y)]

Combine like terms: -2 + -3 = -5
30y + [-5 + -3y + -1y] = 16y + -1[3y + -1(6 + -9y)]

Combine like terms: -3y + -1y = -4y
30y + [-5 + -4y] = 16y + -1[3y + -1(6 + -9y)]

Remove brackets around [-5 + -4y]
30y + -5 + -4y = 16y + -1[3y + -1(6 + -9y)]

Reorder the terms:
-5 + 30y + -4y = 16y + -1[3y + -1(6 + -9y)]

Combine like terms: 30y + -4y = 26y
-5 + 26y = 16y + -1[3y + -1(6 + -9y)]
-5 + 26y = 16y + -1[3y + (6 * -1 + -9y * -1)]
-5 + 26y = 16y + -1[3y + (-6 + 9y)]

Reorder the terms:
-5 + 26y = 16y + -1[-6 + 3y + 9y]

Combine like terms: 3y + 9y = 12y
-5 + 26y = 16y + -1[-6 + 12y]
-5 + 26y = 16y + [-6 * -1 + 12y * -1]
-5 + 26y = 16y + [6 + -12y]

Reorder the terms:
-5 + 26y = 6 + 16y + -12y

Combine like terms: 16y + -12y = 4y
-5 + 26y = 6 + 4y

Solving
-5 + 26y = 6 + 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.
-5 + 26y + -4y = 6 + 4y + -4y

Combine like terms: 26y + -4y = 22y
-5 + 22y = 6 + 4y + -4y

Combine like terms: 4y + -4y = 0
-5 + 22y = 6 + 0
-5 + 22y = 6

Add '5' to each side of the equation.
-5 + 5 + 22y = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 22y = 6 + 5
22y = 6 + 5

Combine like terms: 6 + 5 = 11
22y = 11

Divide each side by '22'.
y = 0.5

Simplifying
y = 0.5

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