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Simplifying 5y + 2(y + -8) = 5(y + 1) + -2 Reorder the terms: 5y + 2(-8 + y) = 5(y + 1) + -2 5y + (-8 * 2 + y * 2) = 5(y + 1) + -2 5y + (-16 + 2y) = 5(y + 1) + -2 Reorder the terms: -16 + 5y + 2y = 5(y + 1) + -2 Combine like terms: 5y + 2y = 7y -16 + 7y = 5(y + 1) + -2 Reorder the terms: -16 + 7y = 5(1 + y) + -2 -16 + 7y = (1 * 5 + y * 5) + -2 -16 + 7y = (5 + 5y) + -2 Reorder the terms: -16 + 7y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -16 + 7y = 3 + 5y Solving -16 + 7y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -16 + 7y + -5y = 3 + 5y + -5y Combine like terms: 7y + -5y = 2y -16 + 2y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 2y = 3 + 0 -16 + 2y = 3 Add '16' to each side of the equation. -16 + 16 + 2y = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 3 + 16 2y = 3 + 16 Combine like terms: 3 + 16 = 19 2y = 19 Divide each side by '2'. y = 9.5 Simplifying y = 9.5
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