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Simplifying -5y + 43 = 7(y + 1) Reorder the terms: 43 + -5y = 7(y + 1) Reorder the terms: 43 + -5y = 7(1 + y) 43 + -5y = (1 * 7 + y * 7) 43 + -5y = (7 + 7y) Solving 43 + -5y = 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 + -5y + -7y = 7 + 7y + -7y Combine like terms: -5y + -7y = -12y 43 + -12y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 43 + -12y = 7 + 0 43 + -12y = 7 Add '-43' to each side of the equation. 43 + -43 + -12y = 7 + -43 Combine like terms: 43 + -43 = 0 0 + -12y = 7 + -43 -12y = 7 + -43 Combine like terms: 7 + -43 = -36 -12y = -36 Divide each side by '-12'. y = 3 Simplifying y = 3
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