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Simplifying 3(y + -8) + -6 = -3(-8y + 6) + -6y Reorder the terms: 3(-8 + y) + -6 = -3(-8y + 6) + -6y (-8 * 3 + y * 3) + -6 = -3(-8y + 6) + -6y (-24 + 3y) + -6 = -3(-8y + 6) + -6y Reorder the terms: -24 + -6 + 3y = -3(-8y + 6) + -6y Combine like terms: -24 + -6 = -30 -30 + 3y = -3(-8y + 6) + -6y Reorder the terms: -30 + 3y = -3(6 + -8y) + -6y -30 + 3y = (6 * -3 + -8y * -3) + -6y -30 + 3y = (-18 + 24y) + -6y Combine like terms: 24y + -6y = 18y -30 + 3y = -18 + 18y Solving -30 + 3y = -18 + 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. -30 + 3y + -18y = -18 + 18y + -18y Combine like terms: 3y + -18y = -15y -30 + -15y = -18 + 18y + -18y Combine like terms: 18y + -18y = 0 -30 + -15y = -18 + 0 -30 + -15y = -18 Add '30' to each side of the equation. -30 + 30 + -15y = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -15y = -18 + 30 -15y = -18 + 30 Combine like terms: -18 + 30 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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