4(y-7)=3y-1

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


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

Reorder the terms:
4(-7 + y) = 3y + -1
(-7 * 4 + y * 4) = 3y + -1
(-28 + 4y) = 3y + -1

Reorder the terms:
-28 + 4y = -1 + 3y

Solving
-28 + 4y = -1 + 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.
-28 + 4y + -3y = -1 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-28 + 1y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-28 + 1y = -1 + 0
-28 + 1y = -1

Add '28' to each side of the equation.
-28 + 28 + 1y = -1 + 28

Combine like terms: -28 + 28 = 0
0 + 1y = -1 + 28
1y = -1 + 28

Combine like terms: -1 + 28 = 27
1y = 27

Divide each side by '1'.
y = 27

Simplifying
y = 27

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