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Simplifying 5(y + -6) = 4y + 10 Reorder the terms: 5(-6 + y) = 4y + 10 (-6 * 5 + y * 5) = 4y + 10 (-30 + 5y) = 4y + 10 Reorder the terms: -30 + 5y = 10 + 4y Solving -30 + 5y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -30 + 5y + -4y = 10 + 4y + -4y Combine like terms: 5y + -4y = 1y -30 + 1y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + 1y = 10 + 0 -30 + 1y = 10 Add '30' to each side of the equation. -30 + 30 + 1y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 1y = 10 + 30 1y = 10 + 30 Combine like terms: 10 + 30 = 40 1y = 40 Divide each side by '1'. y = 40 Simplifying y = 40
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