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

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


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

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

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

Reorder the terms:
-3 + 2y = -6 + 1 + 3y

Combine like terms: -6 + 1 = -5
-3 + 2y = -5 + 3y

Solving
-3 + 2y = -5 + 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 + 2y + -3y = -5 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-3 + -1y = -5 + 0
-3 + -1y = -5

Add '3' to each side of the equation.
-3 + 3 + -1y = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = -5 + 3
-1y = -5 + 3

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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