(Y+5)-(4y-3)=y+64

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Solution for (Y+5)-(4y-3)=y+64 equation: 


Simplifying
(Y + 5) + -1(4y + -3) = y + 64

Reorder the terms:
(5 + Y) + -1(4y + -3) = y + 64

Remove parenthesis around (5 + Y)
5 + Y + -1(4y + -3) = y + 64

Reorder the terms:
5 + Y + -1(-3 + 4y) = y + 64
5 + Y + (-3 * -1 + 4y * -1) = y + 64
5 + Y + (3 + -4y) = y + 64

Reorder the terms:
5 + 3 + Y + -4y = y + 64

Combine like terms: 5 + 3 = 8
8 + Y + -4y = y + 64

Reorder the terms:
8 + Y + -4y = 64 + y

Solving
8 + Y + -4y = 64 + y

Solving for variable 'Y'.

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

Add '-8' to each side of the equation.
8 + Y + -8 + -4y = 64 + -8 + y

Reorder the terms:
8 + -8 + Y + -4y = 64 + -8 + y

Combine like terms: 8 + -8 = 0
0 + Y + -4y = 64 + -8 + y
Y + -4y = 64 + -8 + y

Combine like terms: 64 + -8 = 56
Y + -4y = 56 + y

Add '4y' to each side of the equation.
Y + -4y + 4y = 56 + y + 4y

Combine like terms: -4y + 4y = 0
Y + 0 = 56 + y + 4y
Y = 56 + y + 4y

Combine like terms: y + 4y = 5y
Y = 56 + 5y

Simplifying
Y = 56 + 5y

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