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Simplifying -6 + 5(-1y + -3) = (-8y + 9) + -1 Reorder the terms: -6 + 5(-3 + -1y) = (-8y + 9) + -1 -6 + (-3 * 5 + -1y * 5) = (-8y + 9) + -1 -6 + (-15 + -5y) = (-8y + 9) + -1 Combine like terms: -6 + -15 = -21 -21 + -5y = (-8y + 9) + -1 Reorder the terms: -21 + -5y = (9 + -8y) + -1 Remove parenthesis around (9 + -8y) -21 + -5y = 9 + -8y + -1 Reorder the terms: -21 + -5y = 9 + -1 + -8y Combine like terms: 9 + -1 = 8 -21 + -5y = 8 + -8y Solving -21 + -5y = 8 + -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. -21 + -5y + 8y = 8 + -8y + 8y Combine like terms: -5y + 8y = 3y -21 + 3y = 8 + -8y + 8y Combine like terms: -8y + 8y = 0 -21 + 3y = 8 + 0 -21 + 3y = 8 Add '21' to each side of the equation. -21 + 21 + 3y = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 3y = 8 + 21 3y = 8 + 21 Combine like terms: 8 + 21 = 29 3y = 29 Divide each side by '3'. y = 9.666666667 Simplifying y = 9.666666667
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