3(6y+3)-4(5y-2)=5

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Solution for 3(6y+3)-4(5y-2)=5 equation: 


Simplifying
3(6y + 3) + -4(5y + -2) = 5

Reorder the terms:
3(3 + 6y) + -4(5y + -2) = 5
(3 * 3 + 6y * 3) + -4(5y + -2) = 5
(9 + 18y) + -4(5y + -2) = 5

Reorder the terms:
9 + 18y + -4(-2 + 5y) = 5
9 + 18y + (-2 * -4 + 5y * -4) = 5
9 + 18y + (8 + -20y) = 5

Reorder the terms:
9 + 8 + 18y + -20y = 5

Combine like terms: 9 + 8 = 17
17 + 18y + -20y = 5

Combine like terms: 18y + -20y = -2y
17 + -2y = 5

Solving
17 + -2y = 5

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 + -2y = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -2y = 5 + -17
-2y = 5 + -17

Combine like terms: 5 + -17 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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