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Simplifying 4 + -1(4y + 9) + 2y + 4 = 0 Reorder the terms: 4 + -1(9 + 4y) + 2y + 4 = 0 4 + (9 * -1 + 4y * -1) + 2y + 4 = 0 4 + (-9 + -4y) + 2y + 4 = 0 Reorder the terms: 4 + -9 + 4 + -4y + 2y = 0 Combine like terms: 4 + -9 = -5 -5 + 4 + -4y + 2y = 0 Combine like terms: -5 + 4 = -1 -1 + -4y + 2y = 0 Combine like terms: -4y + 2y = -2y -1 + -2y = 0 Solving -1 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = 0 + 1 -2y = 0 + 1 Combine like terms: 0 + 1 = 1 -2y = 1 Divide each side by '-2'. y = -0.5 Simplifying y = -0.5
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