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Simplifying (4y + -9) + -1(5y + -12) = 0 Reorder the terms: (-9 + 4y) + -1(5y + -12) = 0 Remove parenthesis around (-9 + 4y) -9 + 4y + -1(5y + -12) = 0 Reorder the terms: -9 + 4y + -1(-12 + 5y) = 0 -9 + 4y + (-12 * -1 + 5y * -1) = 0 -9 + 4y + (12 + -5y) = 0 Reorder the terms: -9 + 12 + 4y + -5y = 0 Combine like terms: -9 + 12 = 3 3 + 4y + -5y = 0 Combine like terms: 4y + -5y = -1y 3 + -1y = 0 Solving 3 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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