6y+(1-3y)=16-4(2y+1)

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Solution for 6y+(1-3y)=16-4(2y+1) equation:


Simplifying
6y + (1 + -3y) = 16 + -4(2y + 1)

Remove parenthesis around (1 + -3y)
6y + 1 + -3y = 16 + -4(2y + 1)

Reorder the terms:
1 + 6y + -3y = 16 + -4(2y + 1)

Combine like terms: 6y + -3y = 3y
1 + 3y = 16 + -4(2y + 1)

Reorder the terms:
1 + 3y = 16 + -4(1 + 2y)
1 + 3y = 16 + (1 * -4 + 2y * -4)
1 + 3y = 16 + (-4 + -8y)

Combine like terms: 16 + -4 = 12
1 + 3y = 12 + -8y

Solving
1 + 3y = 12 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
1 + 3y + 8y = 12 + -8y + 8y

Combine like terms: 3y + 8y = 11y
1 + 11y = 12 + -8y + 8y

Combine like terms: -8y + 8y = 0
1 + 11y = 12 + 0
1 + 11y = 12

Add '-1' to each side of the equation.
1 + -1 + 11y = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 11y = 12 + -1
11y = 12 + -1

Combine like terms: 12 + -1 = 11
11y = 11

Divide each side by '11'.
y = 1

Simplifying
y = 1

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