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Simplifying 0.3(2y + -3) = 0.2y + 0.09 Reorder the terms: 0.3(-3 + 2y) = 0.2y + 0.09 (-3 * 0.3 + 2y * 0.3) = 0.2y + 0.09 (-0.9 + 0.6y) = 0.2y + 0.09 Reorder the terms: -0.9 + 0.6y = 0.09 + 0.2y Solving -0.9 + 0.6y = 0.09 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. -0.9 + 0.6y + -0.2y = 0.09 + 0.2y + -0.2y Combine like terms: 0.6y + -0.2y = 0.4y -0.9 + 0.4y = 0.09 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -0.9 + 0.4y = 0.09 + 0.0 -0.9 + 0.4y = 0.09 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.4y = 0.09 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.4y = 0.09 + 0.9 0.4y = 0.09 + 0.9 Combine like terms: 0.09 + 0.9 = 0.99 0.4y = 0.99 Divide each side by '0.4'. y = 2.475 Simplifying y = 2.475
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