6y=3-5(y+2)

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Solution for 6y=3-5(y+2) equation:


Simplifying
6y = 3 + -5(y + 2)

Reorder the terms:
6y = 3 + -5(2 + y)
6y = 3 + (2 * -5 + y * -5)
6y = 3 + (-10 + -5y)

Combine like terms: 3 + -10 = -7
6y = -7 + -5y

Solving
6y = -7 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6y + 5y = -7 + -5y + 5y

Combine like terms: 6y + 5y = 11y
11y = -7 + -5y + 5y

Combine like terms: -5y + 5y = 0
11y = -7 + 0
11y = -7

Divide each side by '11'.
y = -0.6363636364

Simplifying
y = -0.6363636364

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