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Simplifying -2y + -43 = 5y + 6 Reorder the terms: -43 + -2y = 5y + 6 Reorder the terms: -43 + -2y = 6 + 5y Solving -43 + -2y = 6 + 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. -43 + -2y + -5y = 6 + 5y + -5y Combine like terms: -2y + -5y = -7y -43 + -7y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 -43 + -7y = 6 + 0 -43 + -7y = 6 Add '43' to each side of the equation. -43 + 43 + -7y = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -7y = 6 + 43 -7y = 6 + 43 Combine like terms: 6 + 43 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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