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Simplifying 10(y + 3) = 2(3y + 5) Reorder the terms: 10(3 + y) = 2(3y + 5) (3 * 10 + y * 10) = 2(3y + 5) (30 + 10y) = 2(3y + 5) Reorder the terms: 30 + 10y = 2(5 + 3y) 30 + 10y = (5 * 2 + 3y * 2) 30 + 10y = (10 + 6y) Solving 30 + 10y = 10 + 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. 30 + 10y + -6y = 10 + 6y + -6y Combine like terms: 10y + -6y = 4y 30 + 4y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 30 + 4y = 10 + 0 30 + 4y = 10 Add '-30' to each side of the equation. 30 + -30 + 4y = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 4y = 10 + -30 4y = 10 + -30 Combine like terms: 10 + -30 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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