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Simplifying 2(3y + -5) + -1(5y + 3) = 0 Reorder the terms: 2(-5 + 3y) + -1(5y + 3) = 0 (-5 * 2 + 3y * 2) + -1(5y + 3) = 0 (-10 + 6y) + -1(5y + 3) = 0 Reorder the terms: -10 + 6y + -1(3 + 5y) = 0 -10 + 6y + (3 * -1 + 5y * -1) = 0 -10 + 6y + (-3 + -5y) = 0 Reorder the terms: -10 + -3 + 6y + -5y = 0 Combine like terms: -10 + -3 = -13 -13 + 6y + -5y = 0 Combine like terms: 6y + -5y = 1y -13 + 1y = 0 Solving -13 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = 0 + 13 1y = 0 + 13 Combine like terms: 0 + 13 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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