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Simplifying 6y + 27 + 90 = 4y + 18 + 90 Reorder the terms: 27 + 90 + 6y = 4y + 18 + 90 Combine like terms: 27 + 90 = 117 117 + 6y = 4y + 18 + 90 Reorder the terms: 117 + 6y = 18 + 90 + 4y Combine like terms: 18 + 90 = 108 117 + 6y = 108 + 4y Solving 117 + 6y = 108 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 117 + 6y + -4y = 108 + 4y + -4y Combine like terms: 6y + -4y = 2y 117 + 2y = 108 + 4y + -4y Combine like terms: 4y + -4y = 0 117 + 2y = 108 + 0 117 + 2y = 108 Add '-117' to each side of the equation. 117 + -117 + 2y = 108 + -117 Combine like terms: 117 + -117 = 0 0 + 2y = 108 + -117 2y = 108 + -117 Combine like terms: 108 + -117 = -9 2y = -9 Divide each side by '2'. y = -4.5 Simplifying y = -4.5
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