Y+5(4y+2)=10(y+1)+9y

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Solution for Y+5(4y+2)=10(y+1)+9y equation: 


Simplifying
Y + 5(4y + 2) = 10(y + 1) + 9y

Reorder the terms:
Y + 5(2 + 4y) = 10(y + 1) + 9y
Y + (2 * 5 + 4y * 5) = 10(y + 1) + 9y
Y + (10 + 20y) = 10(y + 1) + 9y

Reorder the terms:
10 + Y + 20y = 10(y + 1) + 9y

Reorder the terms:
10 + Y + 20y = 10(1 + y) + 9y
10 + Y + 20y = (1 * 10 + y * 10) + 9y
10 + Y + 20y = (10 + 10y) + 9y

Combine like terms: 10y + 9y = 19y
10 + Y + 20y = 10 + 19y

Add '-10' to each side of the equation.
10 + Y + -10 + 20y = 10 + -10 + 19y

Reorder the terms:
10 + -10 + Y + 20y = 10 + -10 + 19y

Combine like terms: 10 + -10 = 0
0 + Y + 20y = 10 + -10 + 19y
Y + 20y = 10 + -10 + 19y

Combine like terms: 10 + -10 = 0
Y + 20y = 0 + 19y
Y + 20y = 19y

Solving
Y + 20y = 19y

Solving for variable 'Y'.

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

Add '-20y' to each side of the equation.
Y + 20y + -20y = 19y + -20y

Combine like terms: 20y + -20y = 0
Y + 0 = 19y + -20y
Y = 19y + -20y

Combine like terms: 19y + -20y = -1y
Y = -1y

Simplifying
Y = -1y

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