9(y-1)-(y-5)=10

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Solution for 9(y-1)-(y-5)=10 equation:


Simplifying
9(y + -1) + -1(y + -5) = 10

Reorder the terms:
9(-1 + y) + -1(y + -5) = 10
(-1 * 9 + y * 9) + -1(y + -5) = 10
(-9 + 9y) + -1(y + -5) = 10

Reorder the terms:
-9 + 9y + -1(-5 + y) = 10
-9 + 9y + (-5 * -1 + y * -1) = 10
-9 + 9y + (5 + -1y) = 10

Reorder the terms:
-9 + 5 + 9y + -1y = 10

Combine like terms: -9 + 5 = -4
-4 + 9y + -1y = 10

Combine like terms: 9y + -1y = 8y
-4 + 8y = 10

Solving
-4 + 8y = 10

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 8y = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 8y = 10 + 4
8y = 10 + 4

Combine like terms: 10 + 4 = 14
8y = 14

Divide each side by '8'.
y = 1.75

Simplifying
y = 1.75

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