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Simplifying 2y + 43 = 7(y + -1) Reorder the terms: 43 + 2y = 7(y + -1) Reorder the terms: 43 + 2y = 7(-1 + y) 43 + 2y = (-1 * 7 + y * 7) 43 + 2y = (-7 + 7y) Solving 43 + 2y = -7 + 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. 43 + 2y + -7y = -7 + 7y + -7y Combine like terms: 2y + -7y = -5y 43 + -5y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 43 + -5y = -7 + 0 43 + -5y = -7 Add '-43' to each side of the equation. 43 + -43 + -5y = -7 + -43 Combine like terms: 43 + -43 = 0 0 + -5y = -7 + -43 -5y = -7 + -43 Combine like terms: -7 + -43 = -50 -5y = -50 Divide each side by '-5'. y = 10 Simplifying y = 10
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