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Simplifying 3y + 27 = 7(y + 5) Reorder the terms: 27 + 3y = 7(y + 5) Reorder the terms: 27 + 3y = 7(5 + y) 27 + 3y = (5 * 7 + y * 7) 27 + 3y = (35 + 7y) Solving 27 + 3y = 35 + 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. 27 + 3y + -7y = 35 + 7y + -7y Combine like terms: 3y + -7y = -4y 27 + -4y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 27 + -4y = 35 + 0 27 + -4y = 35 Add '-27' to each side of the equation. 27 + -27 + -4y = 35 + -27 Combine like terms: 27 + -27 = 0 0 + -4y = 35 + -27 -4y = 35 + -27 Combine like terms: 35 + -27 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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