7-3(y-4)=2y-1

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Solution for 7-3(y-4)=2y-1 equation: 


Simplifying
7 + -3(y + -4) = 2y + -1

Reorder the terms:
7 + -3(-4 + y) = 2y + -1
7 + (-4 * -3 + y * -3) = 2y + -1
7 + (12 + -3y) = 2y + -1

Combine like terms: 7 + 12 = 19
19 + -3y = 2y + -1

Reorder the terms:
19 + -3y = -1 + 2y

Solving
19 + -3y = -1 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
19 + -3y + -2y = -1 + 2y + -2y

Combine like terms: -3y + -2y = -5y
19 + -5y = -1 + 2y + -2y

Combine like terms: 2y + -2y = 0
19 + -5y = -1 + 0
19 + -5y = -1

Add '-19' to each side of the equation.
19 + -19 + -5y = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -5y = -1 + -19
-5y = -1 + -19

Combine like terms: -1 + -19 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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