Y+3(y+3)=4y+6

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Solution for Y+3(y+3)=4y+6 equation: 


Simplifying
Y + 3(y + 3) = 4y + 6

Reorder the terms:
Y + 3(3 + y) = 4y + 6
Y + (3 * 3 + y * 3) = 4y + 6
Y + (9 + 3y) = 4y + 6

Reorder the terms:
9 + Y + 3y = 4y + 6

Reorder the terms:
9 + Y + 3y = 6 + 4y

Solving
9 + Y + 3y = 6 + 4y

Solving for variable 'Y'.

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

Add '-9' to each side of the equation.
9 + Y + -9 + 3y = 6 + -9 + 4y

Reorder the terms:
9 + -9 + Y + 3y = 6 + -9 + 4y

Combine like terms: 9 + -9 = 0
0 + Y + 3y = 6 + -9 + 4y
Y + 3y = 6 + -9 + 4y

Combine like terms: 6 + -9 = -3
Y + 3y = -3 + 4y

Add '-3y' to each side of the equation.
Y + 3y + -3y = -3 + 4y + -3y

Combine like terms: 3y + -3y = 0
Y + 0 = -3 + 4y + -3y
Y = -3 + 4y + -3y

Combine like terms: 4y + -3y = 1y
Y = -3 + 1y

Simplifying
Y = -3 + 1y

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