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Simplifying -21 = -6y + 3(y + -8) Reorder the terms: -21 = -6y + 3(-8 + y) -21 = -6y + (-8 * 3 + y * 3) -21 = -6y + (-24 + 3y) Reorder the terms: -21 = -24 + -6y + 3y Combine like terms: -6y + 3y = -3y -21 = -24 + -3y Solving -21 = -24 + -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. -21 + 3y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -21 + 3y = -24 + 0 -21 + 3y = -24 Add '21' to each side of the equation. -21 + 21 + 3y = -24 + 21 Combine like terms: -21 + 21 = 0 0 + 3y = -24 + 21 3y = -24 + 21 Combine like terms: -24 + 21 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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