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Simplifying -4y + -7(4y + -9) = 2 + -3(-3 + -1y) Reorder the terms: -4y + -7(-9 + 4y) = 2 + -3(-3 + -1y) -4y + (-9 * -7 + 4y * -7) = 2 + -3(-3 + -1y) -4y + (63 + -28y) = 2 + -3(-3 + -1y) Reorder the terms: 63 + -4y + -28y = 2 + -3(-3 + -1y) Combine like terms: -4y + -28y = -32y 63 + -32y = 2 + -3(-3 + -1y) 63 + -32y = 2 + (-3 * -3 + -1y * -3) 63 + -32y = 2 + (9 + 3y) Combine like terms: 2 + 9 = 11 63 + -32y = 11 + 3y Solving 63 + -32y = 11 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 63 + -32y + -3y = 11 + 3y + -3y Combine like terms: -32y + -3y = -35y 63 + -35y = 11 + 3y + -3y Combine like terms: 3y + -3y = 0 63 + -35y = 11 + 0 63 + -35y = 11 Add '-63' to each side of the equation. 63 + -63 + -35y = 11 + -63 Combine like terms: 63 + -63 = 0 0 + -35y = 11 + -63 -35y = 11 + -63 Combine like terms: 11 + -63 = -52 -35y = -52 Divide each side by '-35'. y = 1.485714286 Simplifying y = 1.485714286
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