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

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


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

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

Reorder the terms:
12 + 3y + 7(-3 + y) = 1
12 + 3y + (-3 * 7 + y * 7) = 1
12 + 3y + (-21 + 7y) = 1

Reorder the terms:
12 + -21 + 3y + 7y = 1

Combine like terms: 12 + -21 = -9
-9 + 3y + 7y = 1

Combine like terms: 3y + 7y = 10y
-9 + 10y = 1

Solving
-9 + 10y = 1

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 10y = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 10y = 1 + 9
10y = 1 + 9

Combine like terms: 1 + 9 = 10
10y = 10

Divide each side by '10'.
y = 1

Simplifying
y = 1

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