3(2y+3)+2(y+4)=25

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Solution for 3(2y+3)+2(y+4)=25 equation: 


Simplifying
3(2y + 3) + 2(y + 4) = 25

Reorder the terms:
3(3 + 2y) + 2(y + 4) = 25
(3 * 3 + 2y * 3) + 2(y + 4) = 25
(9 + 6y) + 2(y + 4) = 25

Reorder the terms:
9 + 6y + 2(4 + y) = 25
9 + 6y + (4 * 2 + y * 2) = 25
9 + 6y + (8 + 2y) = 25

Reorder the terms:
9 + 8 + 6y + 2y = 25

Combine like terms: 9 + 8 = 17
17 + 6y + 2y = 25

Combine like terms: 6y + 2y = 8y
17 + 8y = 25

Solving
17 + 8y = 25

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 8y = 25 + -17

Combine like terms: 17 + -17 = 0
0 + 8y = 25 + -17
8y = 25 + -17

Combine like terms: 25 + -17 = 8
8y = 8

Divide each side by '8'.
y = 1

Simplifying
y = 1

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