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Simplifying 4y + -1[4(y + -2) + 7y + 9] = 0 Reorder the terms: 4y + -1[4(-2 + y) + 7y + 9] = 0 4y + -1[(-2 * 4 + y * 4) + 7y + 9] = 0 4y + -1[(-8 + 4y) + 7y + 9] = 0 Reorder the terms: 4y + -1[-8 + 9 + 4y + 7y] = 0 Combine like terms: -8 + 9 = 1 4y + -1[1 + 4y + 7y] = 0 Combine like terms: 4y + 7y = 11y 4y + -1[1 + 11y] = 0 4y + [1 * -1 + 11y * -1] = 0 4y + [-1 + -11y] = 0 Reorder the terms: -1 + 4y + -11y = 0 Combine like terms: 4y + -11y = -7y -1 + -7y = 0 Solving -1 + -7y = 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 + -7y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = 0 + 1 -7y = 0 + 1 Combine like terms: 0 + 1 = 1 -7y = 1 Divide each side by '-7'. y = -0.1428571429 Simplifying y = -0.1428571429
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