10(y-1)-(3+y)=5-6y+8y

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Solution for 10(y-1)-(3+y)=5-6y+8y equation:


Simplifying
10(y + -1) + -1(3 + y) = 5 + -6y + 8y

Reorder the terms:
10(-1 + y) + -1(3 + y) = 5 + -6y + 8y
(-1 * 10 + y * 10) + -1(3 + y) = 5 + -6y + 8y
(-10 + 10y) + -1(3 + y) = 5 + -6y + 8y
-10 + 10y + (3 * -1 + y * -1) = 5 + -6y + 8y
-10 + 10y + (-3 + -1y) = 5 + -6y + 8y

Reorder the terms:
-10 + -3 + 10y + -1y = 5 + -6y + 8y

Combine like terms: -10 + -3 = -13
-13 + 10y + -1y = 5 + -6y + 8y

Combine like terms: 10y + -1y = 9y
-13 + 9y = 5 + -6y + 8y

Combine like terms: -6y + 8y = 2y
-13 + 9y = 5 + 2y

Solving
-13 + 9y = 5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-13 + 9y + -2y = 5 + 2y + -2y

Combine like terms: 9y + -2y = 7y
-13 + 7y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-13 + 7y = 5 + 0
-13 + 7y = 5

Add '13' to each side of the equation.
-13 + 13 + 7y = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 7y = 5 + 13
7y = 5 + 13

Combine like terms: 5 + 13 = 18
7y = 18

Divide each side by '7'.
y = 2.571428571

Simplifying
y = 2.571428571

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