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Simplifying 6(y + -5) = 5y + -2 Reorder the terms: 6(-5 + y) = 5y + -2 (-5 * 6 + y * 6) = 5y + -2 (-30 + 6y) = 5y + -2 Reorder the terms: -30 + 6y = -2 + 5y Solving -30 + 6y = -2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -30 + 6y + -5y = -2 + 5y + -5y Combine like terms: 6y + -5y = 1y -30 + 1y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 1y = -2 + 0 -30 + 1y = -2 Add '30' to each side of the equation. -30 + 30 + 1y = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 1y = -2 + 30 1y = -2 + 30 Combine like terms: -2 + 30 = 28 1y = 28 Divide each side by '1'. y = 28 Simplifying y = 28
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