-5(y-5)+1=11-(y-3)

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Solution for -5(y-5)+1=11-(y-3) equation:


Simplifying
-5(y + -5) + 1 = 11 + -1(y + -3)

Reorder the terms:
-5(-5 + y) + 1 = 11 + -1(y + -3)
(-5 * -5 + y * -5) + 1 = 11 + -1(y + -3)
(25 + -5y) + 1 = 11 + -1(y + -3)

Reorder the terms:
25 + 1 + -5y = 11 + -1(y + -3)

Combine like terms: 25 + 1 = 26
26 + -5y = 11 + -1(y + -3)

Reorder the terms:
26 + -5y = 11 + -1(-3 + y)
26 + -5y = 11 + (-3 * -1 + y * -1)
26 + -5y = 11 + (3 + -1y)

Combine like terms: 11 + 3 = 14
26 + -5y = 14 + -1y

Solving
26 + -5y = 14 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
26 + -5y + y = 14 + -1y + y

Combine like terms: -5y + y = -4y
26 + -4y = 14 + -1y + y

Combine like terms: -1y + y = 0
26 + -4y = 14 + 0
26 + -4y = 14

Add '-26' to each side of the equation.
26 + -26 + -4y = 14 + -26

Combine like terms: 26 + -26 = 0
0 + -4y = 14 + -26
-4y = 14 + -26

Combine like terms: 14 + -26 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

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