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

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Solution for 5(2y+3)-3(4y-1)=12 equation:


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

Reorder the terms:
5(3 + 2y) + -3(4y + -1) = 12
(3 * 5 + 2y * 5) + -3(4y + -1) = 12
(15 + 10y) + -3(4y + -1) = 12

Reorder the terms:
15 + 10y + -3(-1 + 4y) = 12
15 + 10y + (-1 * -3 + 4y * -3) = 12
15 + 10y + (3 + -12y) = 12

Reorder the terms:
15 + 3 + 10y + -12y = 12

Combine like terms: 15 + 3 = 18
18 + 10y + -12y = 12

Combine like terms: 10y + -12y = -2y
18 + -2y = 12

Solving
18 + -2y = 12

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + -2y = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = 12 + -18
-2y = 12 + -18

Combine like terms: 12 + -18 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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