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Simplifying 3y + 43 = -5(y + -7) Reorder the terms: 43 + 3y = -5(y + -7) Reorder the terms: 43 + 3y = -5(-7 + y) 43 + 3y = (-7 * -5 + y * -5) 43 + 3y = (35 + -5y) Solving 43 + 3y = 35 + -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 + 3y + 5y = 35 + -5y + 5y Combine like terms: 3y + 5y = 8y 43 + 8y = 35 + -5y + 5y Combine like terms: -5y + 5y = 0 43 + 8y = 35 + 0 43 + 8y = 35 Add '-43' to each side of the equation. 43 + -43 + 8y = 35 + -43 Combine like terms: 43 + -43 = 0 0 + 8y = 35 + -43 8y = 35 + -43 Combine like terms: 35 + -43 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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