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Simplifying 3(y + 5) = 7y + 47 Reorder the terms: 3(5 + y) = 7y + 47 (5 * 3 + y * 3) = 7y + 47 (15 + 3y) = 7y + 47 Reorder the terms: 15 + 3y = 47 + 7y Solving 15 + 3y = 47 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 15 + 3y + -7y = 47 + 7y + -7y Combine like terms: 3y + -7y = -4y 15 + -4y = 47 + 7y + -7y Combine like terms: 7y + -7y = 0 15 + -4y = 47 + 0 15 + -4y = 47 Add '-15' to each side of the equation. 15 + -15 + -4y = 47 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = 47 + -15 -4y = 47 + -15 Combine like terms: 47 + -15 = 32 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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