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Simplifying 5y + 2(y + -8) = 8y + -3(y + -10) Reorder the terms: 5y + 2(-8 + y) = 8y + -3(y + -10) 5y + (-8 * 2 + y * 2) = 8y + -3(y + -10) 5y + (-16 + 2y) = 8y + -3(y + -10) Reorder the terms: -16 + 5y + 2y = 8y + -3(y + -10) Combine like terms: 5y + 2y = 7y -16 + 7y = 8y + -3(y + -10) Reorder the terms: -16 + 7y = 8y + -3(-10 + y) -16 + 7y = 8y + (-10 * -3 + y * -3) -16 + 7y = 8y + (30 + -3y) Reorder the terms: -16 + 7y = 30 + 8y + -3y Combine like terms: 8y + -3y = 5y -16 + 7y = 30 + 5y Solving -16 + 7y = 30 + 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 = 30 + 5y + -5y Combine like terms: 7y + -5y = 2y -16 + 2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 2y = 30 + 0 -16 + 2y = 30 Add '16' to each side of the equation. -16 + 16 + 2y = 30 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 30 + 16 2y = 30 + 16 Combine like terms: 30 + 16 = 46 2y = 46 Divide each side by '2'. y = 23 Simplifying y = 23
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