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Simplifying -5 + 8y + 4 = 2y + -43 Reorder the terms: -5 + 4 + 8y = 2y + -43 Combine like terms: -5 + 4 = -1 -1 + 8y = 2y + -43 Reorder the terms: -1 + 8y = -43 + 2y Solving -1 + 8y = -43 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + 8y + -2y = -43 + 2y + -2y Combine like terms: 8y + -2y = 6y -1 + 6y = -43 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + 6y = -43 + 0 -1 + 6y = -43 Add '1' to each side of the equation. -1 + 1 + 6y = -43 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = -43 + 1 6y = -43 + 1 Combine like terms: -43 + 1 = -42 6y = -42 Divide each side by '6'. y = -7 Simplifying y = -7
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