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Simplifying 5y + -10 = 3(2 + y) Reorder the terms: -10 + 5y = 3(2 + y) -10 + 5y = (2 * 3 + y * 3) -10 + 5y = (6 + 3y) Solving -10 + 5y = 6 + 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. -10 + 5y + -3y = 6 + 3y + -3y Combine like terms: 5y + -3y = 2y -10 + 2y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 2y = 6 + 0 -10 + 2y = 6 Add '10' to each side of the equation. -10 + 10 + 2y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2y = 6 + 10 2y = 6 + 10 Combine like terms: 6 + 10 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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