-6y+3(12y)=20(y-1)+15

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Solution for -6y+3(12y)=20(y-1)+15 equation:


Simplifying
-6y + 3(12y) = 20(y + -1) + 15

Remove parenthesis around (12y)
-6y + 3 * 12y = 20(y + -1) + 15

Multiply 3 * 12
-6y + 36y = 20(y + -1) + 15

Combine like terms: -6y + 36y = 30y
30y = 20(y + -1) + 15

Reorder the terms:
30y = 20(-1 + y) + 15
30y = (-1 * 20 + y * 20) + 15
30y = (-20 + 20y) + 15

Reorder the terms:
30y = -20 + 15 + 20y

Combine like terms: -20 + 15 = -5
30y = -5 + 20y

Solving
30y = -5 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
30y + -20y = -5 + 20y + -20y

Combine like terms: 30y + -20y = 10y
10y = -5 + 20y + -20y

Combine like terms: 20y + -20y = 0
10y = -5 + 0
10y = -5

Divide each side by '10'.
y = -0.5

Simplifying
y = -0.5

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