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

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


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

Reorder the terms:
6(-5 + 2y) = 10 + -4(y + -10)
(-5 * 6 + 2y * 6) = 10 + -4(y + -10)
(-30 + 12y) = 10 + -4(y + -10)

Reorder the terms:
-30 + 12y = 10 + -4(-10 + y)
-30 + 12y = 10 + (-10 * -4 + y * -4)
-30 + 12y = 10 + (40 + -4y)

Combine like terms: 10 + 40 = 50
-30 + 12y = 50 + -4y

Solving
-30 + 12y = 50 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-30 + 12y + 4y = 50 + -4y + 4y

Combine like terms: 12y + 4y = 16y
-30 + 16y = 50 + -4y + 4y

Combine like terms: -4y + 4y = 0
-30 + 16y = 50 + 0
-30 + 16y = 50

Add '30' to each side of the equation.
-30 + 30 + 16y = 50 + 30

Combine like terms: -30 + 30 = 0
0 + 16y = 50 + 30
16y = 50 + 30

Combine like terms: 50 + 30 = 80
16y = 80

Divide each side by '16'.
y = 5

Simplifying
y = 5

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