1+3(y+8)=7(3-y)+14

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Solution for 1+3(y+8)=7(3-y)+14 equation: 


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

Reorder the terms:
1 + 3(8 + y) = 7(3 + -1y) + 14
1 + (8 * 3 + y * 3) = 7(3 + -1y) + 14
1 + (24 + 3y) = 7(3 + -1y) + 14

Combine like terms: 1 + 24 = 25
25 + 3y = 7(3 + -1y) + 14
25 + 3y = (3 * 7 + -1y * 7) + 14
25 + 3y = (21 + -7y) + 14

Reorder the terms:
25 + 3y = 21 + 14 + -7y

Combine like terms: 21 + 14 = 35
25 + 3y = 35 + -7y

Solving
25 + 3y = 35 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
25 + 3y + 7y = 35 + -7y + 7y

Combine like terms: 3y + 7y = 10y
25 + 10y = 35 + -7y + 7y

Combine like terms: -7y + 7y = 0
25 + 10y = 35 + 0
25 + 10y = 35

Add '-25' to each side of the equation.
25 + -25 + 10y = 35 + -25

Combine like terms: 25 + -25 = 0
0 + 10y = 35 + -25
10y = 35 + -25

Combine like terms: 35 + -25 = 10
10y = 10

Divide each side by '10'.
y = 1

Simplifying
y = 1

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