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Simplifying 3y + 33 = -4(y + 4) Reorder the terms: 33 + 3y = -4(y + 4) Reorder the terms: 33 + 3y = -4(4 + y) 33 + 3y = (4 * -4 + y * -4) 33 + 3y = (-16 + -4y) Solving 33 + 3y = -16 + -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. 33 + 3y + 4y = -16 + -4y + 4y Combine like terms: 3y + 4y = 7y 33 + 7y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 33 + 7y = -16 + 0 33 + 7y = -16 Add '-33' to each side of the equation. 33 + -33 + 7y = -16 + -33 Combine like terms: 33 + -33 = 0 0 + 7y = -16 + -33 7y = -16 + -33 Combine like terms: -16 + -33 = -49 7y = -49 Divide each side by '7'. y = -7 Simplifying y = -7
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