15(y+7)-3x(y+7)=3(y+7)(5-x)

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Solution for 15(y+7)-3x(y+7)=3(y+7)(5-x) equation: 


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

Reorder the terms:
15(7 + y) + -3x(y + 7) = 3(y + 7)(5 + -1x)
(7 * 15 + y * 15) + -3x(y + 7) = 3(y + 7)(5 + -1x)
(105 + 15y) + -3x(y + 7) = 3(y + 7)(5 + -1x)

Reorder the terms:
105 + 15y + -3x(7 + y) = 3(y + 7)(5 + -1x)
105 + 15y + (7 * -3x + y * -3x) = 3(y + 7)(5 + -1x)
105 + 15y + (-21x + -3xy) = 3(y + 7)(5 + -1x)

Reorder the terms:
105 + -21x + -3xy + 15y = 3(y + 7)(5 + -1x)

Reorder the terms:
105 + -21x + -3xy + 15y = 3(7 + y)(5 + -1x)

Multiply (7 + y) * (5 + -1x)
105 + -21x + -3xy + 15y = 3(7(5 + -1x) + y(5 + -1x))
105 + -21x + -3xy + 15y = 3((5 * 7 + -1x * 7) + y(5 + -1x))
105 + -21x + -3xy + 15y = 3((35 + -7x) + y(5 + -1x))
105 + -21x + -3xy + 15y = 3(35 + -7x + (5 * y + -1x * y))

Reorder the terms:
105 + -21x + -3xy + 15y = 3(35 + -7x + (-1xy + 5y))
105 + -21x + -3xy + 15y = 3(35 + -7x + (-1xy + 5y))
105 + -21x + -3xy + 15y = 3(35 + -7x + -1xy + 5y)
105 + -21x + -3xy + 15y = (35 * 3 + -7x * 3 + -1xy * 3 + 5y * 3)
105 + -21x + -3xy + 15y = (105 + -21x + -3xy + 15y)

Add '-105' to each side of the equation.
105 + -21x + -3xy + -105 + 15y = 105 + -21x + -3xy + -105 + 15y

Reorder the terms:
105 + -105 + -21x + -3xy + 15y = 105 + -21x + -3xy + -105 + 15y

Combine like terms: 105 + -105 = 0
0 + -21x + -3xy + 15y = 105 + -21x + -3xy + -105 + 15y
-21x + -3xy + 15y = 105 + -21x + -3xy + -105 + 15y

Reorder the terms:
-21x + -3xy + 15y = 105 + -105 + -21x + -3xy + 15y

Combine like terms: 105 + -105 = 0
-21x + -3xy + 15y = 0 + -21x + -3xy + 15y
-21x + -3xy + 15y = -21x + -3xy + 15y

Add '21x' to each side of the equation.
-21x + -3xy + 21x + 15y = -21x + -3xy + 21x + 15y

Reorder the terms:
-21x + 21x + -3xy + 15y = -21x + -3xy + 21x + 15y

Combine like terms: -21x + 21x = 0
0 + -3xy + 15y = -21x + -3xy + 21x + 15y
-3xy + 15y = -21x + -3xy + 21x + 15y

Reorder the terms:
-3xy + 15y = -21x + 21x + -3xy + 15y

Combine like terms: -21x + 21x = 0
-3xy + 15y = 0 + -3xy + 15y
-3xy + 15y = -3xy + 15y

Add '3xy' to each side of the equation.
-3xy + 3xy + 15y = -3xy + 3xy + 15y

Combine like terms: -3xy + 3xy = 0
0 + 15y = -3xy + 3xy + 15y
15y = -3xy + 3xy + 15y

Combine like terms: -3xy + 3xy = 0
15y = 0 + 15y
15y = 15y

Add '-15y' to each side of the equation.
15y + -15y = 15y + -15y

Combine like terms: 15y + -15y = 0
0 = 15y + -15y

Combine like terms: 15y + -15y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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