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

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


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

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

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

Reorder the terms:
-3 + 5y = 3(2 + y) + 1
-3 + 5y = (2 * 3 + y * 3) + 1
-3 + 5y = (6 + 3y) + 1

Reorder the terms:
-3 + 5y = 6 + 1 + 3y

Combine like terms: 6 + 1 = 7
-3 + 5y = 7 + 3y

Solving
-3 + 5y = 7 + 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.
-3 + 5y + -3y = 7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-3 + 2y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + 2y = 7 + 0
-3 + 2y = 7

Add '3' to each side of the equation.
-3 + 3 + 2y = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 7 + 3
2y = 7 + 3

Combine like terms: 7 + 3 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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