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Simplifying 45 + 4y + -12 = 13y + -9 + -2y Reorder the terms: 45 + -12 + 4y = 13y + -9 + -2y Combine like terms: 45 + -12 = 33 33 + 4y = 13y + -9 + -2y Reorder the terms: 33 + 4y = -9 + 13y + -2y Combine like terms: 13y + -2y = 11y 33 + 4y = -9 + 11y Solving 33 + 4y = -9 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 33 + 4y + -11y = -9 + 11y + -11y Combine like terms: 4y + -11y = -7y 33 + -7y = -9 + 11y + -11y Combine like terms: 11y + -11y = 0 33 + -7y = -9 + 0 33 + -7y = -9 Add '-33' to each side of the equation. 33 + -33 + -7y = -9 + -33 Combine like terms: 33 + -33 = 0 0 + -7y = -9 + -33 -7y = -9 + -33 Combine like terms: -9 + -33 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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