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Simplifying 4y + 2(5) = 3(5) + 3y Multiply 2 * 5 4y + 10 = 3(5) + 3y Reorder the terms: 10 + 4y = 3(5) + 3y Multiply 3 * 5 10 + 4y = 15 + 3y Solving 10 + 4y = 15 + 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 + 4y + -3y = 15 + 3y + -3y Combine like terms: 4y + -3y = 1y 10 + 1y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 1y = 15 + 0 10 + 1y = 15 Add '-10' to each side of the equation. 10 + -10 + 1y = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 15 + -10 1y = 15 + -10 Combine like terms: 15 + -10 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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