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Simplifying 37 = 5(y + 2) + -8y Reorder the terms: 37 = 5(2 + y) + -8y 37 = (2 * 5 + y * 5) + -8y 37 = (10 + 5y) + -8y Combine like terms: 5y + -8y = -3y 37 = 10 + -3y Solving 37 = 10 + -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. 37 + 3y = 10 + -3y + 3y Combine like terms: -3y + 3y = 0 37 + 3y = 10 + 0 37 + 3y = 10 Add '-37' to each side of the equation. 37 + -37 + 3y = 10 + -37 Combine like terms: 37 + -37 = 0 0 + 3y = 10 + -37 3y = 10 + -37 Combine like terms: 10 + -37 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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