Y-7(y+2)=3y+13

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Solution for Y-7(y+2)=3y+13 equation:


Simplifying
Y + -7(y + 2) = 3y + 13

Reorder the terms:
Y + -7(2 + y) = 3y + 13
Y + (2 * -7 + y * -7) = 3y + 13
Y + (-14 + -7y) = 3y + 13

Reorder the terms:
-14 + Y + -7y = 3y + 13

Reorder the terms:
-14 + Y + -7y = 13 + 3y

Solving
-14 + Y + -7y = 13 + 3y

Solving for variable 'Y'.

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

Add '14' to each side of the equation.
-14 + Y + 14 + -7y = 13 + 14 + 3y

Reorder the terms:
-14 + 14 + Y + -7y = 13 + 14 + 3y

Combine like terms: -14 + 14 = 0
0 + Y + -7y = 13 + 14 + 3y
Y + -7y = 13 + 14 + 3y

Combine like terms: 13 + 14 = 27
Y + -7y = 27 + 3y

Add '7y' to each side of the equation.
Y + -7y + 7y = 27 + 3y + 7y

Combine like terms: -7y + 7y = 0
Y + 0 = 27 + 3y + 7y
Y = 27 + 3y + 7y

Combine like terms: 3y + 7y = 10y
Y = 27 + 10y

Simplifying
Y = 27 + 10y

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