-6y+30=3(5y-4)

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Solution for -6y+30=3(5y-4) equation:


Simplifying
-6y + 30 = 3(5y + -4)

Reorder the terms:
30 + -6y = 3(5y + -4)

Reorder the terms:
30 + -6y = 3(-4 + 5y)
30 + -6y = (-4 * 3 + 5y * 3)
30 + -6y = (-12 + 15y)

Solving
30 + -6y = -12 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
30 + -6y + -15y = -12 + 15y + -15y

Combine like terms: -6y + -15y = -21y
30 + -21y = -12 + 15y + -15y

Combine like terms: 15y + -15y = 0
30 + -21y = -12 + 0
30 + -21y = -12

Add '-30' to each side of the equation.
30 + -30 + -21y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -21y = -12 + -30
-21y = -12 + -30

Combine like terms: -12 + -30 = -42
-21y = -42

Divide each side by '-21'.
y = 2

Simplifying
y = 2

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