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Simplifying 3(y + 33) = 2(y + -33) Reorder the terms: 3(33 + y) = 2(y + -33) (33 * 3 + y * 3) = 2(y + -33) (99 + 3y) = 2(y + -33) Reorder the terms: 99 + 3y = 2(-33 + y) 99 + 3y = (-33 * 2 + y * 2) 99 + 3y = (-66 + 2y) Solving 99 + 3y = -66 + 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. 99 + 3y + -2y = -66 + 2y + -2y Combine like terms: 3y + -2y = 1y 99 + 1y = -66 + 2y + -2y Combine like terms: 2y + -2y = 0 99 + 1y = -66 + 0 99 + 1y = -66 Add '-99' to each side of the equation. 99 + -99 + 1y = -66 + -99 Combine like terms: 99 + -99 = 0 0 + 1y = -66 + -99 1y = -66 + -99 Combine like terms: -66 + -99 = -165 1y = -165 Divide each side by '1'. y = -165 Simplifying y = -165
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