1-3(y+1)-3(y+1)+5y=7

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Solution for 1-3(y+1)-3(y+1)+5y=7 equation: 


Simplifying
1 + -3(y + 1) + -3(y + 1) + 5y = 7

Reorder the terms:
1 + -3(1 + y) + -3(y + 1) + 5y = 7
1 + (1 * -3 + y * -3) + -3(y + 1) + 5y = 7
1 + (-3 + -3y) + -3(y + 1) + 5y = 7

Reorder the terms:
1 + -3 + -3y + -3(1 + y) + 5y = 7
1 + -3 + -3y + (1 * -3 + y * -3) + 5y = 7
1 + -3 + -3y + (-3 + -3y) + 5y = 7

Reorder the terms:
1 + -3 + -3 + -3y + -3y + 5y = 7

Combine like terms: 1 + -3 = -2
-2 + -3 + -3y + -3y + 5y = 7

Combine like terms: -2 + -3 = -5
-5 + -3y + -3y + 5y = 7

Combine like terms: -3y + -3y = -6y
-5 + -6y + 5y = 7

Combine like terms: -6y + 5y = -1y
-5 + -1y = 7

Solving
-5 + -1y = 7

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 7 + 5
-1y = 7 + 5

Combine like terms: 7 + 5 = 12
-1y = 12

Divide each side by '-1'.
y = -12

Simplifying
y = -12

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