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Simplifying 3y + 2 = -1(2y + 33) Reorder the terms: 2 + 3y = -1(2y + 33) Reorder the terms: 2 + 3y = -1(33 + 2y) 2 + 3y = (33 * -1 + 2y * -1) 2 + 3y = (-33 + -2y) Solving 2 + 3y = -33 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 2 + 3y + 2y = -33 + -2y + 2y Combine like terms: 3y + 2y = 5y 2 + 5y = -33 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 5y = -33 + 0 2 + 5y = -33 Add '-2' to each side of the equation. 2 + -2 + 5y = -33 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -33 + -2 5y = -33 + -2 Combine like terms: -33 + -2 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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