7y+2(Y*2)=3(Y+1)-2

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Solution for 7y+2(Y*2)=3(Y+1)-2 equation:


Simplifying
7y + 2(Y * 2) = 3(Y + 1) + -2

Reorder the terms for easier multiplication:
7y + 2(2Y) = 3(Y + 1) + -2

Remove parenthesis around (2Y)
7y + 2 * 2Y = 3(Y + 1) + -2

Multiply 2 * 2
7y + 4Y = 3(Y + 1) + -2

Reorder the terms:
4Y + 7y = 3(Y + 1) + -2

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

Reorder the terms:
4Y + 7y = 3 + -2 + 3Y

Combine like terms: 3 + -2 = 1
4Y + 7y = 1 + 3Y

Solving
4Y + 7y = 1 + 3Y

Solving for variable 'Y'.

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

Add '-3Y' to each side of the equation.
4Y + -3Y + 7y = 1 + 3Y + -3Y

Combine like terms: 4Y + -3Y = 1Y
1Y + 7y = 1 + 3Y + -3Y

Combine like terms: 3Y + -3Y = 0
1Y + 7y = 1 + 0
1Y + 7y = 1

Add '-7y' to each side of the equation.
1Y + 7y + -7y = 1 + -7y

Combine like terms: 7y + -7y = 0
1Y + 0 = 1 + -7y
1Y = 1 + -7y

Divide each side by '1'.
Y = 1 + -7y

Simplifying
Y = 1 + -7y

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