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Simplifying 8y + 2(y + -8) = 3(y + 1) + -2 Reorder the terms: 8y + 2(-8 + y) = 3(y + 1) + -2 8y + (-8 * 2 + y * 2) = 3(y + 1) + -2 8y + (-16 + 2y) = 3(y + 1) + -2 Reorder the terms: -16 + 8y + 2y = 3(y + 1) + -2 Combine like terms: 8y + 2y = 10y -16 + 10y = 3(y + 1) + -2 Reorder the terms: -16 + 10y = 3(1 + y) + -2 -16 + 10y = (1 * 3 + y * 3) + -2 -16 + 10y = (3 + 3y) + -2 Reorder the terms: -16 + 10y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -16 + 10y = 1 + 3y Solving -16 + 10y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 10y + -3y = 1 + 3y + -3y Combine like terms: 10y + -3y = 7y -16 + 7y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 7y = 1 + 0 -16 + 7y = 1 Add '16' to each side of the equation. -16 + 16 + 7y = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 7y = 1 + 16 7y = 1 + 16 Combine like terms: 1 + 16 = 17 7y = 17 Divide each side by '7'. y = 2.428571429 Simplifying y = 2.428571429
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