6(y-5)=2(10+4y)

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Solution for 6(y-5)=2(10+4y) equation:


Simplifying
6(y + -5) = 2(10 + 4y)

Reorder the terms:
6(-5 + y) = 2(10 + 4y)
(-5 * 6 + y * 6) = 2(10 + 4y)
(-30 + 6y) = 2(10 + 4y)
-30 + 6y = (10 * 2 + 4y * 2)
-30 + 6y = (20 + 8y)

Solving
-30 + 6y = 20 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-30 + 6y + -8y = 20 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-30 + -2y = 20 + 8y + -8y

Combine like terms: 8y + -8y = 0
-30 + -2y = 20 + 0
-30 + -2y = 20

Add '30' to each side of the equation.
-30 + 30 + -2y = 20 + 30

Combine like terms: -30 + 30 = 0
0 + -2y = 20 + 30
-2y = 20 + 30

Combine like terms: 20 + 30 = 50
-2y = 50

Divide each side by '-2'.
y = -25

Simplifying
y = -25

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