3(4y+7)-3=2y-5

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Solution for 3(4y+7)-3=2y-5 equation:


Simplifying
3(4y + 7) + -3 = 2y + -5

Reorder the terms:
3(7 + 4y) + -3 = 2y + -5
(7 * 3 + 4y * 3) + -3 = 2y + -5
(21 + 12y) + -3 = 2y + -5

Reorder the terms:
21 + -3 + 12y = 2y + -5

Combine like terms: 21 + -3 = 18
18 + 12y = 2y + -5

Reorder the terms:
18 + 12y = -5 + 2y

Solving
18 + 12y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
18 + 12y + -2y = -5 + 2y + -2y

Combine like terms: 12y + -2y = 10y
18 + 10y = -5 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + 10y = -5 + 0
18 + 10y = -5

Add '-18' to each side of the equation.
18 + -18 + 10y = -5 + -18

Combine like terms: 18 + -18 = 0
0 + 10y = -5 + -18
10y = -5 + -18

Combine like terms: -5 + -18 = -23
10y = -23

Divide each side by '10'.
y = -2.3

Simplifying
y = -2.3

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