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Simplifying 3y + 37 = -2(y + -6) Reorder the terms: 37 + 3y = -2(y + -6) Reorder the terms: 37 + 3y = -2(-6 + y) 37 + 3y = (-6 * -2 + y * -2) 37 + 3y = (12 + -2y) Solving 37 + 3y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 37 + 3y + 2y = 12 + -2y + 2y Combine like terms: 3y + 2y = 5y 37 + 5y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 37 + 5y = 12 + 0 37 + 5y = 12 Add '-37' to each side of the equation. 37 + -37 + 5y = 12 + -37 Combine like terms: 37 + -37 = 0 0 + 5y = 12 + -37 5y = 12 + -37 Combine like terms: 12 + -37 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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