y-2=5(39-y)-3

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Solution for y-2=5(39-y)-3 equation:


Simplifying
y + -2 = 5(39 + -1y) + -3

Reorder the terms:
-2 + y = 5(39 + -1y) + -3
-2 + y = (39 * 5 + -1y * 5) + -3
-2 + y = (195 + -5y) + -3

Reorder the terms:
-2 + y = 195 + -3 + -5y

Combine like terms: 195 + -3 = 192
-2 + y = 192 + -5y

Solving
-2 + y = 192 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-2 + y + 5y = 192 + -5y + 5y

Combine like terms: y + 5y = 6y
-2 + 6y = 192 + -5y + 5y

Combine like terms: -5y + 5y = 0
-2 + 6y = 192 + 0
-2 + 6y = 192

Add '2' to each side of the equation.
-2 + 2 + 6y = 192 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 192 + 2
6y = 192 + 2

Combine like terms: 192 + 2 = 194
6y = 194

Divide each side by '6'.
y = 32.33333333

Simplifying
y = 32.33333333

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