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

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


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

Reorder the terms:
4(-5 + y) + -1(y + -5) = 10
(-5 * 4 + y * 4) + -1(y + -5) = 10
(-20 + 4y) + -1(y + -5) = 10

Reorder the terms:
-20 + 4y + -1(-5 + y) = 10
-20 + 4y + (-5 * -1 + y * -1) = 10
-20 + 4y + (5 + -1y) = 10

Reorder the terms:
-20 + 5 + 4y + -1y = 10

Combine like terms: -20 + 5 = -15
-15 + 4y + -1y = 10

Combine like terms: 4y + -1y = 3y
-15 + 3y = 10

Solving
-15 + 3y = 10

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 3y = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 3y = 10 + 15
3y = 10 + 15

Combine like terms: 10 + 15 = 25
3y = 25

Divide each side by '3'.
y = 8.333333333

Simplifying
y = 8.333333333

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