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Simplifying 3y + 5(y + -2) = 8y + -2(y + -10) Reorder the terms: 3y + 5(-2 + y) = 8y + -2(y + -10) 3y + (-2 * 5 + y * 5) = 8y + -2(y + -10) 3y + (-10 + 5y) = 8y + -2(y + -10) Reorder the terms: -10 + 3y + 5y = 8y + -2(y + -10) Combine like terms: 3y + 5y = 8y -10 + 8y = 8y + -2(y + -10) Reorder the terms: -10 + 8y = 8y + -2(-10 + y) -10 + 8y = 8y + (-10 * -2 + y * -2) -10 + 8y = 8y + (20 + -2y) Reorder the terms: -10 + 8y = 20 + 8y + -2y Combine like terms: 8y + -2y = 6y -10 + 8y = 20 + 6y Solving -10 + 8y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -10 + 8y + -6y = 20 + 6y + -6y Combine like terms: 8y + -6y = 2y -10 + 2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + 2y = 20 + 0 -10 + 2y = 20 Add '10' to each side of the equation. -10 + 10 + 2y = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2y = 20 + 10 2y = 20 + 10 Combine like terms: 20 + 10 = 30 2y = 30 Divide each side by '2'. y = 15 Simplifying y = 15
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