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Simplifying 6y + 1.5 = 2y + 19.5 Reorder the terms: 1.5 + 6y = 2y + 19.5 Reorder the terms: 1.5 + 6y = 19.5 + 2y Solving 1.5 + 6y = 19.5 + 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. 1.5 + 6y + -2y = 19.5 + 2y + -2y Combine like terms: 6y + -2y = 4y 1.5 + 4y = 19.5 + 2y + -2y Combine like terms: 2y + -2y = 0 1.5 + 4y = 19.5 + 0 1.5 + 4y = 19.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 4y = 19.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 4y = 19.5 + -1.5 4y = 19.5 + -1.5 Combine like terms: 19.5 + -1.5 = 18 4y = 18 Divide each side by '4'. y = 4.5 Simplifying y = 4.5
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