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Simplifying -1 + 8y + 7 = 2y + -42 Reorder the terms: -1 + 7 + 8y = 2y + -42 Combine like terms: -1 + 7 = 6 6 + 8y = 2y + -42 Reorder the terms: 6 + 8y = -42 + 2y Solving 6 + 8y = -42 + 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. 6 + 8y + -2y = -42 + 2y + -2y Combine like terms: 8y + -2y = 6y 6 + 6y = -42 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 6y = -42 + 0 6 + 6y = -42 Add '-6' to each side of the equation. 6 + -6 + 6y = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = -42 + -6 6y = -42 + -6 Combine like terms: -42 + -6 = -48 6y = -48 Divide each side by '6'. y = -8 Simplifying y = -8
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