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