7(y-1)=3y-19

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Solution for 7(y-1)=3y-19 equation:


Simplifying
7(y + -1) = 3y + -19

Reorder the terms:
7(-1 + y) = 3y + -19
(-1 * 7 + y * 7) = 3y + -19
(-7 + 7y) = 3y + -19

Reorder the terms:
-7 + 7y = -19 + 3y

Solving
-7 + 7y = -19 + 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.
-7 + 7y + -3y = -19 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-7 + 4y = -19 + 3y + -3y

Combine like terms: 3y + -3y = 0
-7 + 4y = -19 + 0
-7 + 4y = -19

Add '7' to each side of the equation.
-7 + 7 + 4y = -19 + 7

Combine like terms: -7 + 7 = 0
0 + 4y = -19 + 7
4y = -19 + 7

Combine like terms: -19 + 7 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3

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