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Simplifying 3 + -5[y + -1] = 2y + [y + -4] Reorder the terms: 3 + -5[-1 + y] = 2y + [y + -4] 3 + [-1 * -5 + y * -5] = 2y + [y + -4] 3 + [5 + -5y] = 2y + [y + -4] Combine like terms: 3 + 5 = 8 8 + -5y = 2y + [y + -4] Reorder the terms: 8 + -5y = 2y + [-4 + y] Remove brackets around [-4 + y] 8 + -5y = 2y + -4 + y Reorder the terms: 8 + -5y = -4 + 2y + y Combine like terms: 2y + y = 3y 8 + -5y = -4 + 3y Solving 8 + -5y = -4 + 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. 8 + -5y + -3y = -4 + 3y + -3y Combine like terms: -5y + -3y = -8y 8 + -8y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -8y = -4 + 0 8 + -8y = -4 Add '-8' to each side of the equation. 8 + -8 + -8y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -4 + -8 -8y = -4 + -8 Combine like terms: -4 + -8 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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