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Simplifying 37 = 8(y + 4) + -3y Reorder the terms: 37 = 8(4 + y) + -3y 37 = (4 * 8 + y * 8) + -3y 37 = (32 + 8y) + -3y Combine like terms: 8y + -3y = 5y 37 = 32 + 5y Solving 37 = 32 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 37 + -5y = 32 + 5y + -5y Combine like terms: 5y + -5y = 0 37 + -5y = 32 + 0 37 + -5y = 32 Add '-37' to each side of the equation. 37 + -37 + -5y = 32 + -37 Combine like terms: 37 + -37 = 0 0 + -5y = 32 + -37 -5y = 32 + -37 Combine like terms: 32 + -37 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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