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Simplifying 10y + 12y + -162 = 10y + 204 + 1305 Reorder the terms: -162 + 10y + 12y = 10y + 204 + 1305 Combine like terms: 10y + 12y = 22y -162 + 22y = 10y + 204 + 1305 Reorder the terms: -162 + 22y = 204 + 1305 + 10y Combine like terms: 204 + 1305 = 1509 -162 + 22y = 1509 + 10y Solving -162 + 22y = 1509 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -162 + 22y + -10y = 1509 + 10y + -10y Combine like terms: 22y + -10y = 12y -162 + 12y = 1509 + 10y + -10y Combine like terms: 10y + -10y = 0 -162 + 12y = 1509 + 0 -162 + 12y = 1509 Add '162' to each side of the equation. -162 + 162 + 12y = 1509 + 162 Combine like terms: -162 + 162 = 0 0 + 12y = 1509 + 162 12y = 1509 + 162 Combine like terms: 1509 + 162 = 1671 12y = 1671 Divide each side by '12'. y = 139.25 Simplifying y = 139.25
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