7(2-y)+5=1+3(y+8)

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Solution for 7(2-y)+5=1+3(y+8) equation: 


Simplifying
7(2 + -1y) + 5 = 1 + 3(y + 8)
(2 * 7 + -1y * 7) + 5 = 1 + 3(y + 8)
(14 + -7y) + 5 = 1 + 3(y + 8)

Reorder the terms:
14 + 5 + -7y = 1 + 3(y + 8)

Combine like terms: 14 + 5 = 19
19 + -7y = 1 + 3(y + 8)

Reorder the terms:
19 + -7y = 1 + 3(8 + y)
19 + -7y = 1 + (8 * 3 + y * 3)
19 + -7y = 1 + (24 + 3y)

Combine like terms: 1 + 24 = 25
19 + -7y = 25 + 3y

Solving
19 + -7y = 25 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
19 + -7y + -3y = 25 + 3y + -3y

Combine like terms: -7y + -3y = -10y
19 + -10y = 25 + 3y + -3y

Combine like terms: 3y + -3y = 0
19 + -10y = 25 + 0
19 + -10y = 25

Add '-19' to each side of the equation.
19 + -19 + -10y = 25 + -19

Combine like terms: 19 + -19 = 0
0 + -10y = 25 + -19
-10y = 25 + -19

Combine like terms: 25 + -19 = 6
-10y = 6

Divide each side by '-10'.
y = -0.6

Simplifying
y = -0.6

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