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Simplifying (y + 5) + -1(y + -3) = 8y Reorder the terms: (5 + y) + -1(y + -3) = 8y Remove parenthesis around (5 + y) 5 + y + -1(y + -3) = 8y Reorder the terms: 5 + y + -1(-3 + y) = 8y 5 + y + (-3 * -1 + y * -1) = 8y 5 + y + (3 + -1y) = 8y Reorder the terms: 5 + 3 + y + -1y = 8y Combine like terms: 5 + 3 = 8 8 + y + -1y = 8y Combine like terms: y + -1y = 0 8 + 0 = 8y 8 = 8y Solving 8 = 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. 8 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 8 + -8y = 0 Add '-8' to each side of the equation. 8 + -8 + -8y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = 0 + -8 -8y = 0 + -8 Combine like terms: 0 + -8 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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