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Simplifying 5(y + -1) + -2(3y + 5) = 10.5 Reorder the terms: 5(-1 + y) + -2(3y + 5) = 10.5 (-1 * 5 + y * 5) + -2(3y + 5) = 10.5 (-5 + 5y) + -2(3y + 5) = 10.5 Reorder the terms: -5 + 5y + -2(5 + 3y) = 10.5 -5 + 5y + (5 * -2 + 3y * -2) = 10.5 -5 + 5y + (-10 + -6y) = 10.5 Reorder the terms: -5 + -10 + 5y + -6y = 10.5 Combine like terms: -5 + -10 = -15 -15 + 5y + -6y = 10.5 Combine like terms: 5y + -6y = -1y -15 + -1y = 10.5 Solving -15 + -1y = 10.5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 10.5 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 10.5 + 15 -1y = 10.5 + 15 Combine like terms: 10.5 + 15 = 25.5 -1y = 25.5 Divide each side by '-1'. y = -25.5 Simplifying y = -25.5
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