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Simplifying 3(y + -8) + -3 = -3(-8y + 7) + -6y Reorder the terms: 3(-8 + y) + -3 = -3(-8y + 7) + -6y (-8 * 3 + y * 3) + -3 = -3(-8y + 7) + -6y (-24 + 3y) + -3 = -3(-8y + 7) + -6y Reorder the terms: -24 + -3 + 3y = -3(-8y + 7) + -6y Combine like terms: -24 + -3 = -27 -27 + 3y = -3(-8y + 7) + -6y Reorder the terms: -27 + 3y = -3(7 + -8y) + -6y -27 + 3y = (7 * -3 + -8y * -3) + -6y -27 + 3y = (-21 + 24y) + -6y Combine like terms: 24y + -6y = 18y -27 + 3y = -21 + 18y Solving -27 + 3y = -21 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -27 + 3y + -18y = -21 + 18y + -18y Combine like terms: 3y + -18y = -15y -27 + -15y = -21 + 18y + -18y Combine like terms: 18y + -18y = 0 -27 + -15y = -21 + 0 -27 + -15y = -21 Add '27' to each side of the equation. -27 + 27 + -15y = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -15y = -21 + 27 -15y = -21 + 27 Combine like terms: -21 + 27 = 6 -15y = 6 Divide each side by '-15'. y = -0.4 Simplifying y = -0.4
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