3(1+4y)-2(5y-3)=25

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Solution for 3(1+4y)-2(5y-3)=25 equation: 


Simplifying
3(1 + 4y) + -2(5y + -3) = 25
(1 * 3 + 4y * 3) + -2(5y + -3) = 25
(3 + 12y) + -2(5y + -3) = 25

Reorder the terms:
3 + 12y + -2(-3 + 5y) = 25
3 + 12y + (-3 * -2 + 5y * -2) = 25
3 + 12y + (6 + -10y) = 25

Reorder the terms:
3 + 6 + 12y + -10y = 25

Combine like terms: 3 + 6 = 9
9 + 12y + -10y = 25

Combine like terms: 12y + -10y = 2y
9 + 2y = 25

Solving
9 + 2y = 25

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 2y = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 25 + -9
2y = 25 + -9

Combine like terms: 25 + -9 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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