3(y+6)+2(y+7)=47

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Solution for 3(y+6)+2(y+7)=47 equation: 


Simplifying
3(y + 6) + 2(y + 7) = 47

Reorder the terms:
3(6 + y) + 2(y + 7) = 47
(6 * 3 + y * 3) + 2(y + 7) = 47
(18 + 3y) + 2(y + 7) = 47

Reorder the terms:
18 + 3y + 2(7 + y) = 47
18 + 3y + (7 * 2 + y * 2) = 47
18 + 3y + (14 + 2y) = 47

Reorder the terms:
18 + 14 + 3y + 2y = 47

Combine like terms: 18 + 14 = 32
32 + 3y + 2y = 47

Combine like terms: 3y + 2y = 5y
32 + 5y = 47

Solving
32 + 5y = 47

Solving for variable 'y'.

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

Add '-32' to each side of the equation.
32 + -32 + 5y = 47 + -32

Combine like terms: 32 + -32 = 0
0 + 5y = 47 + -32
5y = 47 + -32

Combine like terms: 47 + -32 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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