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

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Solution for 4(y-1)+(y-5)=10 equation: 


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

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

Reorder the terms:
-4 + 4y + (-5 + y) = 10

Remove parenthesis around (-5 + y)
-4 + 4y + -5 + y = 10

Reorder the terms:
-4 + -5 + 4y + y = 10

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

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

Solving
-9 + 5y = 10

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 5y = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 5y = 10 + 9
5y = 10 + 9

Combine like terms: 10 + 9 = 19
5y = 19

Divide each side by '5'.
y = 3.8

Simplifying
y = 3.8

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