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Simplifying 10 + -3(5 + -4y) = 15 + 40 10 + (5 * -3 + -4y * -3) = 15 + 40 10 + (-15 + 12y) = 15 + 40 Combine like terms: 10 + -15 = -5 -5 + 12y = 15 + 40 Combine like terms: 15 + 40 = 55 -5 + 12y = 55 Solving -5 + 12y = 55 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12y = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 12y = 55 + 5 12y = 55 + 5 Combine like terms: 55 + 5 = 60 12y = 60 Divide each side by '12'. y = 5 Simplifying y = 5
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