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Simplifying 2y + 3 = 7y + -42 Reorder the terms: 3 + 2y = 7y + -42 Reorder the terms: 3 + 2y = -42 + 7y Solving 3 + 2y = -42 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 3 + 2y + -7y = -42 + 7y + -7y Combine like terms: 2y + -7y = -5y 3 + -5y = -42 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + -5y = -42 + 0 3 + -5y = -42 Add '-3' to each side of the equation. 3 + -3 + -5y = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -5y = -42 + -3 -5y = -42 + -3 Combine like terms: -42 + -3 = -45 -5y = -45 Divide each side by '-5'. y = 9 Simplifying y = 9
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