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Simplifying 4y + 33 = -3(y + -4) Reorder the terms: 33 + 4y = -3(y + -4) Reorder the terms: 33 + 4y = -3(-4 + y) 33 + 4y = (-4 * -3 + y * -3) 33 + 4y = (12 + -3y) Solving 33 + 4y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 33 + 4y + 3y = 12 + -3y + 3y Combine like terms: 4y + 3y = 7y 33 + 7y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 33 + 7y = 12 + 0 33 + 7y = 12 Add '-33' to each side of the equation. 33 + -33 + 7y = 12 + -33 Combine like terms: 33 + -33 = 0 0 + 7y = 12 + -33 7y = 12 + -33 Combine like terms: 12 + -33 = -21 7y = -21 Divide each side by '7'. y = -3 Simplifying y = -3
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