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Simplifying 2y + 5(y + -6) = 8y + -3(y + -10) Reorder the terms: 2y + 5(-6 + y) = 8y + -3(y + -10) 2y + (-6 * 5 + y * 5) = 8y + -3(y + -10) 2y + (-30 + 5y) = 8y + -3(y + -10) Reorder the terms: -30 + 2y + 5y = 8y + -3(y + -10) Combine like terms: 2y + 5y = 7y -30 + 7y = 8y + -3(y + -10) Reorder the terms: -30 + 7y = 8y + -3(-10 + y) -30 + 7y = 8y + (-10 * -3 + y * -3) -30 + 7y = 8y + (30 + -3y) Reorder the terms: -30 + 7y = 30 + 8y + -3y Combine like terms: 8y + -3y = 5y -30 + 7y = 30 + 5y Solving -30 + 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. -30 + 7y + -5y = 30 + 5y + -5y Combine like terms: 7y + -5y = 2y -30 + 2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 2y = 30 + 0 -30 + 2y = 30 Add '30' to each side of the equation. -30 + 30 + 2y = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 2y = 30 + 30 2y = 30 + 30 Combine like terms: 30 + 30 = 60 2y = 60 Divide each side by '2'. y = 30 Simplifying y = 30
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