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Simplifying y + -4[y + -3(y + -2)] + -5 = y Reorder the terms: y + -4[y + -3(-2 + y)] + -5 = y y + -4[y + (-2 * -3 + y * -3)] + -5 = y y + -4[y + (6 + -3y)] + -5 = y Reorder the terms: y + -4[6 + y + -3y] + -5 = y Combine like terms: y + -3y = -2y y + -4[6 + -2y] + -5 = y y + [6 * -4 + -2y * -4] + -5 = y y + [-24 + 8y] + -5 = y Reorder the terms: -24 + -5 + y + 8y = y Combine like terms: -24 + -5 = -29 -29 + y + 8y = y Combine like terms: y + 8y = 9y -29 + 9y = y Solving -29 + 9y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -29 + 9y + -1y = y + -1y Combine like terms: 9y + -1y = 8y -29 + 8y = y + -1y Combine like terms: y + -1y = 0 -29 + 8y = 0 Add '29' to each side of the equation. -29 + 29 + 8y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8y = 0 + 29 8y = 0 + 29 Combine like terms: 0 + 29 = 29 8y = 29 Divide each side by '8'. y = 3.625 Simplifying y = 3.625
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