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Simplifying 3(1 + -2y) = 15 + -4y (1 * 3 + -2y * 3) = 15 + -4y (3 + -6y) = 15 + -4y Solving 3 + -6y = 15 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 3 + -6y + 4y = 15 + -4y + 4y Combine like terms: -6y + 4y = -2y 3 + -2y = 15 + -4y + 4y Combine like terms: -4y + 4y = 0 3 + -2y = 15 + 0 3 + -2y = 15 Add '-3' to each side of the equation. 3 + -3 + -2y = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 15 + -3 -2y = 15 + -3 Combine like terms: 15 + -3 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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