2(2y+7)+3(3y-5)=3(4y+5)-1

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Solution for 2(2y+7)+3(3y-5)=3(4y+5)-1 equation:


Simplifying
2(2y + 7) + 3(3y + -5) = 3(4y + 5) + -1

Reorder the terms:
2(7 + 2y) + 3(3y + -5) = 3(4y + 5) + -1
(7 * 2 + 2y * 2) + 3(3y + -5) = 3(4y + 5) + -1
(14 + 4y) + 3(3y + -5) = 3(4y + 5) + -1

Reorder the terms:
14 + 4y + 3(-5 + 3y) = 3(4y + 5) + -1
14 + 4y + (-5 * 3 + 3y * 3) = 3(4y + 5) + -1
14 + 4y + (-15 + 9y) = 3(4y + 5) + -1

Reorder the terms:
14 + -15 + 4y + 9y = 3(4y + 5) + -1

Combine like terms: 14 + -15 = -1
-1 + 4y + 9y = 3(4y + 5) + -1

Combine like terms: 4y + 9y = 13y
-1 + 13y = 3(4y + 5) + -1

Reorder the terms:
-1 + 13y = 3(5 + 4y) + -1
-1 + 13y = (5 * 3 + 4y * 3) + -1
-1 + 13y = (15 + 12y) + -1

Reorder the terms:
-1 + 13y = 15 + -1 + 12y

Combine like terms: 15 + -1 = 14
-1 + 13y = 14 + 12y

Solving
-1 + 13y = 14 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-1 + 13y + -12y = 14 + 12y + -12y

Combine like terms: 13y + -12y = 1y
-1 + 1y = 14 + 12y + -12y

Combine like terms: 12y + -12y = 0
-1 + 1y = 14 + 0
-1 + 1y = 14

Add '1' to each side of the equation.
-1 + 1 + 1y = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 1y = 14 + 1
1y = 14 + 1

Combine like terms: 14 + 1 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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