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

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


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

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

Combine like terms: 7y + 2y = 9y
-4 + 9y = 3(y + 5) + -1

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

Reorder the terms:
-4 + 9y = 15 + -1 + 3y

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

Solving
-4 + 9y = 14 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-4 + 9y + -3y = 14 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-4 + 6y = 14 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 6y = 14 + 0
-4 + 6y = 14

Add '4' to each side of the equation.
-4 + 4 + 6y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 14 + 4
6y = 14 + 4

Combine like terms: 14 + 4 = 18
6y = 18

Divide each side by '6'.
y = 3

Simplifying
y = 3

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