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Simplifying 8y + 1 + -5y = 1 + 2y + -7 Reorder the terms: 1 + 8y + -5y = 1 + 2y + -7 Combine like terms: 8y + -5y = 3y 1 + 3y = 1 + 2y + -7 Reorder the terms: 1 + 3y = 1 + -7 + 2y Combine like terms: 1 + -7 = -6 1 + 3y = -6 + 2y Solving 1 + 3y = -6 + 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 + 3y + -2y = -6 + 2y + -2y Combine like terms: 3y + -2y = 1y 1 + 1y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 1y = -6 + 0 1 + 1y = -6 Add '-1' to each side of the equation. 1 + -1 + 1y = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = -6 + -1 1y = -6 + -1 Combine like terms: -6 + -1 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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