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Simplifying 5y + 3(y + -2) = 8y + -2(y + -10) Reorder the terms: 5y + 3(-2 + y) = 8y + -2(y + -10) 5y + (-2 * 3 + y * 3) = 8y + -2(y + -10) 5y + (-6 + 3y) = 8y + -2(y + -10) Reorder the terms: -6 + 5y + 3y = 8y + -2(y + -10) Combine like terms: 5y + 3y = 8y -6 + 8y = 8y + -2(y + -10) Reorder the terms: -6 + 8y = 8y + -2(-10 + y) -6 + 8y = 8y + (-10 * -2 + y * -2) -6 + 8y = 8y + (20 + -2y) Reorder the terms: -6 + 8y = 20 + 8y + -2y Combine like terms: 8y + -2y = 6y -6 + 8y = 20 + 6y Solving -6 + 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. -6 + 8y + -6y = 20 + 6y + -6y Combine like terms: 8y + -6y = 2y -6 + 2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 2y = 20 + 0 -6 + 2y = 20 Add '6' to each side of the equation. -6 + 6 + 2y = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 20 + 6 2y = 20 + 6 Combine like terms: 20 + 6 = 26 2y = 26 Divide each side by '2'. y = 13 Simplifying y = 13
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