3(2Y+7)-11=4(Y+1)

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Solution for 3(2Y+7)-11=4(Y+1) equation: 


Simplifying
3(2Y + 7) + -11 = 4(Y + 1)

Reorder the terms:
3(7 + 2Y) + -11 = 4(Y + 1)
(7 * 3 + 2Y * 3) + -11 = 4(Y + 1)
(21 + 6Y) + -11 = 4(Y + 1)

Reorder the terms:
21 + -11 + 6Y = 4(Y + 1)

Combine like terms: 21 + -11 = 10
10 + 6Y = 4(Y + 1)

Reorder the terms:
10 + 6Y = 4(1 + Y)
10 + 6Y = (1 * 4 + Y * 4)
10 + 6Y = (4 + 4Y)

Solving
10 + 6Y = 4 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
10 + 6Y + -4Y = 4 + 4Y + -4Y

Combine like terms: 6Y + -4Y = 2Y
10 + 2Y = 4 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
10 + 2Y = 4 + 0
10 + 2Y = 4

Add '-10' to each side of the equation.
10 + -10 + 2Y = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 2Y = 4 + -10
2Y = 4 + -10

Combine like terms: 4 + -10 = -6
2Y = -6

Divide each side by '2'.
Y = -3

Simplifying
Y = -3

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