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Simplifying 8y + 7(y + -4) = 47 Reorder the terms: 8y + 7(-4 + y) = 47 8y + (-4 * 7 + y * 7) = 47 8y + (-28 + 7y) = 47 Reorder the terms: -28 + 8y + 7y = 47 Combine like terms: 8y + 7y = 15y -28 + 15y = 47 Solving -28 + 15y = 47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 15y = 47 + 28 Combine like terms: -28 + 28 = 0 0 + 15y = 47 + 28 15y = 47 + 28 Combine like terms: 47 + 28 = 75 15y = 75 Divide each side by '15'. y = 5 Simplifying y = 5
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