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Simplifying 100y + 30 = 120y + 90 Reorder the terms: 30 + 100y = 120y + 90 Reorder the terms: 30 + 100y = 90 + 120y Solving 30 + 100y = 90 + 120y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-120y' to each side of the equation. 30 + 100y + -120y = 90 + 120y + -120y Combine like terms: 100y + -120y = -20y 30 + -20y = 90 + 120y + -120y Combine like terms: 120y + -120y = 0 30 + -20y = 90 + 0 30 + -20y = 90 Add '-30' to each side of the equation. 30 + -30 + -20y = 90 + -30 Combine like terms: 30 + -30 = 0 0 + -20y = 90 + -30 -20y = 90 + -30 Combine like terms: 90 + -30 = 60 -20y = 60 Divide each side by '-20'. y = -3 Simplifying y = -3
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