3(y-4)+1=10

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Solution for 3(y-4)+1=10 equation: 


Simplifying
3(y + -4) + 1 = 10

Reorder the terms:
3(-4 + y) + 1 = 10
(-4 * 3 + y * 3) + 1 = 10
(-12 + 3y) + 1 = 10

Reorder the terms:
-12 + 1 + 3y = 10

Combine like terms: -12 + 1 = -11
-11 + 3y = 10

Solving
-11 + 3y = 10

Solving for variable 'y'.

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

Add '11' to each side of the equation.
-11 + 11 + 3y = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 3y = 10 + 11
3y = 10 + 11

Combine like terms: 10 + 11 = 21
3y = 21

Divide each side by '3'.
y = 7

Simplifying
y = 7

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