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Simplifying 3(6 + 7y) + 2(1 + -5y) = 45 (6 * 3 + 7y * 3) + 2(1 + -5y) = 45 (18 + 21y) + 2(1 + -5y) = 45 18 + 21y + (1 * 2 + -5y * 2) = 45 18 + 21y + (2 + -10y) = 45 Reorder the terms: 18 + 2 + 21y + -10y = 45 Combine like terms: 18 + 2 = 20 20 + 21y + -10y = 45 Combine like terms: 21y + -10y = 11y 20 + 11y = 45 Solving 20 + 11y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11y = 45 + -20 Combine like terms: 20 + -20 = 0 0 + 11y = 45 + -20 11y = 45 + -20 Combine like terms: 45 + -20 = 25 11y = 25 Divide each side by '11'. y = 2.272727273 Simplifying y = 2.272727273
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