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Simplifying -81 + 8y + 6 = 6(3y + -5) + -5 Reorder the terms: -81 + 6 + 8y = 6(3y + -5) + -5 Combine like terms: -81 + 6 = -75 -75 + 8y = 6(3y + -5) + -5 Reorder the terms: -75 + 8y = 6(-5 + 3y) + -5 -75 + 8y = (-5 * 6 + 3y * 6) + -5 -75 + 8y = (-30 + 18y) + -5 Reorder the terms: -75 + 8y = -30 + -5 + 18y Combine like terms: -30 + -5 = -35 -75 + 8y = -35 + 18y Solving -75 + 8y = -35 + 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. -75 + 8y + -18y = -35 + 18y + -18y Combine like terms: 8y + -18y = -10y -75 + -10y = -35 + 18y + -18y Combine like terms: 18y + -18y = 0 -75 + -10y = -35 + 0 -75 + -10y = -35 Add '75' to each side of the equation. -75 + 75 + -10y = -35 + 75 Combine like terms: -75 + 75 = 0 0 + -10y = -35 + 75 -10y = -35 + 75 Combine like terms: -35 + 75 = 40 -10y = 40 Divide each side by '-10'. y = -4 Simplifying y = -4
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