10(3y+6)=2(20y-5)

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Solution for 10(3y+6)=2(20y-5) equation:


Simplifying
10(3y + 6) = 2(20y + -5)

Reorder the terms:
10(6 + 3y) = 2(20y + -5)
(6 * 10 + 3y * 10) = 2(20y + -5)
(60 + 30y) = 2(20y + -5)

Reorder the terms:
60 + 30y = 2(-5 + 20y)
60 + 30y = (-5 * 2 + 20y * 2)
60 + 30y = (-10 + 40y)

Solving
60 + 30y = -10 + 40y

Solving for variable 'y'.

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

Add '-40y' to each side of the equation.
60 + 30y + -40y = -10 + 40y + -40y

Combine like terms: 30y + -40y = -10y
60 + -10y = -10 + 40y + -40y

Combine like terms: 40y + -40y = 0
60 + -10y = -10 + 0
60 + -10y = -10

Add '-60' to each side of the equation.
60 + -60 + -10y = -10 + -60

Combine like terms: 60 + -60 = 0
0 + -10y = -10 + -60
-10y = -10 + -60

Combine like terms: -10 + -60 = -70
-10y = -70

Divide each side by '-10'.
y = 7

Simplifying
y = 7

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