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Simplifying 5y + -7 = 8(1 + y) + -6 Reorder the terms: -7 + 5y = 8(1 + y) + -6 -7 + 5y = (1 * 8 + y * 8) + -6 -7 + 5y = (8 + 8y) + -6 Reorder the terms: -7 + 5y = 8 + -6 + 8y Combine like terms: 8 + -6 = 2 -7 + 5y = 2 + 8y Solving -7 + 5y = 2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + 5y + -8y = 2 + 8y + -8y Combine like terms: 5y + -8y = -3y -7 + -3y = 2 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -3y = 2 + 0 -7 + -3y = 2 Add '7' to each side of the equation. -7 + 7 + -3y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 2 + 7 -3y = 2 + 7 Combine like terms: 2 + 7 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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