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Simplifying 2(3 + -1y) + 7(2 + -1y) = 15 + -4y (3 * 2 + -1y * 2) + 7(2 + -1y) = 15 + -4y (6 + -2y) + 7(2 + -1y) = 15 + -4y 6 + -2y + (2 * 7 + -1y * 7) = 15 + -4y 6 + -2y + (14 + -7y) = 15 + -4y Reorder the terms: 6 + 14 + -2y + -7y = 15 + -4y Combine like terms: 6 + 14 = 20 20 + -2y + -7y = 15 + -4y Combine like terms: -2y + -7y = -9y 20 + -9y = 15 + -4y Solving 20 + -9y = 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. 20 + -9y + 4y = 15 + -4y + 4y Combine like terms: -9y + 4y = -5y 20 + -5y = 15 + -4y + 4y Combine like terms: -4y + 4y = 0 20 + -5y = 15 + 0 20 + -5y = 15 Add '-20' to each side of the equation. 20 + -20 + -5y = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = 15 + -20 -5y = 15 + -20 Combine like terms: 15 + -20 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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