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Simplifying 4(2y + -13) + -9(y + -3) + 2(3y + -10) = 0 Reorder the terms: 4(-13 + 2y) + -9(y + -3) + 2(3y + -10) = 0 (-13 * 4 + 2y * 4) + -9(y + -3) + 2(3y + -10) = 0 (-52 + 8y) + -9(y + -3) + 2(3y + -10) = 0 Reorder the terms: -52 + 8y + -9(-3 + y) + 2(3y + -10) = 0 -52 + 8y + (-3 * -9 + y * -9) + 2(3y + -10) = 0 -52 + 8y + (27 + -9y) + 2(3y + -10) = 0 Reorder the terms: -52 + 8y + 27 + -9y + 2(-10 + 3y) = 0 -52 + 8y + 27 + -9y + (-10 * 2 + 3y * 2) = 0 -52 + 8y + 27 + -9y + (-20 + 6y) = 0 Reorder the terms: -52 + 27 + -20 + 8y + -9y + 6y = 0 Combine like terms: -52 + 27 = -25 -25 + -20 + 8y + -9y + 6y = 0 Combine like terms: -25 + -20 = -45 -45 + 8y + -9y + 6y = 0 Combine like terms: 8y + -9y = -1y -45 + -1y + 6y = 0 Combine like terms: -1y + 6y = 5y -45 + 5y = 0 Solving -45 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5y = 0 + 45 5y = 0 + 45 Combine like terms: 0 + 45 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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