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Simplifying y + -2(3y + -5) = 4(7 + -1y) + -9 Reorder the terms: y + -2(-5 + 3y) = 4(7 + -1y) + -9 y + (-5 * -2 + 3y * -2) = 4(7 + -1y) + -9 y + (10 + -6y) = 4(7 + -1y) + -9 Reorder the terms: 10 + y + -6y = 4(7 + -1y) + -9 Combine like terms: y + -6y = -5y 10 + -5y = 4(7 + -1y) + -9 10 + -5y = (7 * 4 + -1y * 4) + -9 10 + -5y = (28 + -4y) + -9 Reorder the terms: 10 + -5y = 28 + -9 + -4y Combine like terms: 28 + -9 = 19 10 + -5y = 19 + -4y Solving 10 + -5y = 19 + -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. 10 + -5y + 4y = 19 + -4y + 4y Combine like terms: -5y + 4y = -1y 10 + -1y = 19 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -1y = 19 + 0 10 + -1y = 19 Add '-10' to each side of the equation. 10 + -10 + -1y = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 19 + -10 -1y = 19 + -10 Combine like terms: 19 + -10 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9
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