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Simplifying 5(8y + -6) = 10y Reorder the terms: 5(-6 + 8y) = 10y (-6 * 5 + 8y * 5) = 10y (-30 + 40y) = 10y Solving -30 + 40y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -30 + 40y + -10y = 10y + -10y Combine like terms: 40y + -10y = 30y -30 + 30y = 10y + -10y Combine like terms: 10y + -10y = 0 -30 + 30y = 0 Add '30' to each side of the equation. -30 + 30 + 30y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 30y = 0 + 30 30y = 0 + 30 Combine like terms: 0 + 30 = 30 30y = 30 Divide each side by '30'. y = 1 Simplifying y = 1
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