(y-17)-10=4(-y-3)

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Solution for (y-17)-10=4(-y-3) equation:


Simplifying
(y + -17) + -10 = 4(-1y + -3)

Reorder the terms:
(-17 + y) + -10 = 4(-1y + -3)

Remove parenthesis around (-17 + y)
-17 + y + -10 = 4(-1y + -3)

Reorder the terms:
-17 + -10 + y = 4(-1y + -3)

Combine like terms: -17 + -10 = -27
-27 + y = 4(-1y + -3)

Reorder the terms:
-27 + y = 4(-3 + -1y)
-27 + y = (-3 * 4 + -1y * 4)
-27 + y = (-12 + -4y)

Solving
-27 + y = -12 + -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.
-27 + y + 4y = -12 + -4y + 4y

Combine like terms: y + 4y = 5y
-27 + 5y = -12 + -4y + 4y

Combine like terms: -4y + 4y = 0
-27 + 5y = -12 + 0
-27 + 5y = -12

Add '27' to each side of the equation.
-27 + 27 + 5y = -12 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = -12 + 27
5y = -12 + 27

Combine like terms: -12 + 27 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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