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

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


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

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

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

Reorder the terms:
1 + 2y = -4 + 3y + 4y

Combine like terms: 3y + 4y = 7y
1 + 2y = -4 + 7y

Solving
1 + 2y = -4 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
1 + 2y + -7y = -4 + 7y + -7y

Combine like terms: 2y + -7y = -5y
1 + -5y = -4 + 7y + -7y

Combine like terms: 7y + -7y = 0
1 + -5y = -4 + 0
1 + -5y = -4

Add '-1' to each side of the equation.
1 + -1 + -5y = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = -4 + -1
-5y = -4 + -1

Combine like terms: -4 + -1 = -5
-5y = -5

Divide each side by '-5'.
y = 1

Simplifying
y = 1

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