(9y+8)+(3y-7)=49

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Solution for (9y+8)+(3y-7)=49 equation:


Simplifying
(9y + 8) + (3y + -7) = 49

Reorder the terms:
(8 + 9y) + (3y + -7) = 49

Remove parenthesis around (8 + 9y)
8 + 9y + (3y + -7) = 49

Reorder the terms:
8 + 9y + (-7 + 3y) = 49

Remove parenthesis around (-7 + 3y)
8 + 9y + -7 + 3y = 49

Reorder the terms:
8 + -7 + 9y + 3y = 49

Combine like terms: 8 + -7 = 1
1 + 9y + 3y = 49

Combine like terms: 9y + 3y = 12y
1 + 12y = 49

Solving
1 + 12y = 49

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 12y = 49 + -1

Combine like terms: 1 + -1 = 0
0 + 12y = 49 + -1
12y = 49 + -1

Combine like terms: 49 + -1 = 48
12y = 48

Divide each side by '12'.
y = 4

Simplifying
y = 4

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