4y-78=2(6-3y)-5y

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Solution for 4y-78=2(6-3y)-5y equation: 


Simplifying
4y + -78 = 2(6 + -3y) + -5y

Reorder the terms:
-78 + 4y = 2(6 + -3y) + -5y
-78 + 4y = (6 * 2 + -3y * 2) + -5y
-78 + 4y = (12 + -6y) + -5y

Combine like terms: -6y + -5y = -11y
-78 + 4y = 12 + -11y

Solving
-78 + 4y = 12 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
-78 + 4y + 11y = 12 + -11y + 11y

Combine like terms: 4y + 11y = 15y
-78 + 15y = 12 + -11y + 11y

Combine like terms: -11y + 11y = 0
-78 + 15y = 12 + 0
-78 + 15y = 12

Add '78' to each side of the equation.
-78 + 78 + 15y = 12 + 78

Combine like terms: -78 + 78 = 0
0 + 15y = 12 + 78
15y = 12 + 78

Combine like terms: 12 + 78 = 90
15y = 90

Divide each side by '15'.
y = 6

Simplifying
y = 6

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