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

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


Simplifying
6(y + -5) + -1y = 4(10 + -1y)

Reorder the terms:
6(-5 + y) + -1y = 4(10 + -1y)
(-5 * 6 + y * 6) + -1y = 4(10 + -1y)
(-30 + 6y) + -1y = 4(10 + -1y)

Combine like terms: 6y + -1y = 5y
-30 + 5y = 4(10 + -1y)
-30 + 5y = (10 * 4 + -1y * 4)
-30 + 5y = (40 + -4y)

Solving
-30 + 5y = 40 + -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 + 5y + 4y = 40 + -4y + 4y

Combine like terms: 5y + 4y = 9y
-30 + 9y = 40 + -4y + 4y

Combine like terms: -4y + 4y = 0
-30 + 9y = 40 + 0
-30 + 9y = 40

Add '30' to each side of the equation.
-30 + 30 + 9y = 40 + 30

Combine like terms: -30 + 30 = 0
0 + 9y = 40 + 30
9y = 40 + 30

Combine like terms: 40 + 30 = 70
9y = 70

Divide each side by '9'.
y = 7.777777778

Simplifying
y = 7.777777778

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