3(2y+1)-5(12y-7)=42y+30

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Solution for 3(2y+1)-5(12y-7)=42y+30 equation:


Simplifying
3(2y + 1) + -5(12y + -7) = 42y + 30

Reorder the terms:
3(1 + 2y) + -5(12y + -7) = 42y + 30
(1 * 3 + 2y * 3) + -5(12y + -7) = 42y + 30
(3 + 6y) + -5(12y + -7) = 42y + 30

Reorder the terms:
3 + 6y + -5(-7 + 12y) = 42y + 30
3 + 6y + (-7 * -5 + 12y * -5) = 42y + 30
3 + 6y + (35 + -60y) = 42y + 30

Reorder the terms:
3 + 35 + 6y + -60y = 42y + 30

Combine like terms: 3 + 35 = 38
38 + 6y + -60y = 42y + 30

Combine like terms: 6y + -60y = -54y
38 + -54y = 42y + 30

Reorder the terms:
38 + -54y = 30 + 42y

Solving
38 + -54y = 30 + 42y

Solving for variable 'y'.

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

Add '-42y' to each side of the equation.
38 + -54y + -42y = 30 + 42y + -42y

Combine like terms: -54y + -42y = -96y
38 + -96y = 30 + 42y + -42y

Combine like terms: 42y + -42y = 0
38 + -96y = 30 + 0
38 + -96y = 30

Add '-38' to each side of the equation.
38 + -38 + -96y = 30 + -38

Combine like terms: 38 + -38 = 0
0 + -96y = 30 + -38
-96y = 30 + -38

Combine like terms: 30 + -38 = -8
-96y = -8

Divide each side by '-96'.
y = 0.08333333333

Simplifying
y = 0.08333333333

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