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Simplifying -3(y + 5) = 4y + 27 Reorder the terms: -3(5 + y) = 4y + 27 (5 * -3 + y * -3) = 4y + 27 (-15 + -3y) = 4y + 27 Reorder the terms: -15 + -3y = 27 + 4y Solving -15 + -3y = 27 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + -3y + -4y = 27 + 4y + -4y Combine like terms: -3y + -4y = -7y -15 + -7y = 27 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -7y = 27 + 0 -15 + -7y = 27 Add '15' to each side of the equation. -15 + 15 + -7y = 27 + 15 Combine like terms: -15 + 15 = 0 0 + -7y = 27 + 15 -7y = 27 + 15 Combine like terms: 27 + 15 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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