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Simplifying -4y + -43 = 6y + 17 Reorder the terms: -43 + -4y = 6y + 17 Reorder the terms: -43 + -4y = 17 + 6y Solving -43 + -4y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -43 + -4y + -6y = 17 + 6y + -6y Combine like terms: -4y + -6y = -10y -43 + -10y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 -43 + -10y = 17 + 0 -43 + -10y = 17 Add '43' to each side of the equation. -43 + 43 + -10y = 17 + 43 Combine like terms: -43 + 43 = 0 0 + -10y = 17 + 43 -10y = 17 + 43 Combine like terms: 17 + 43 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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