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Simplifying 1.2y + -8 = 0.4(y + 10) Reorder the terms: -8 + 1.2y = 0.4(y + 10) Reorder the terms: -8 + 1.2y = 0.4(10 + y) -8 + 1.2y = (10 * 0.4 + y * 0.4) -8 + 1.2y = (4 + 0.4y) Solving -8 + 1.2y = 4 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -8 + 1.2y + -0.4y = 4 + 0.4y + -0.4y Combine like terms: 1.2y + -0.4y = 0.8y -8 + 0.8y = 4 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -8 + 0.8y = 4 + 0.0 -8 + 0.8y = 4 Add '8' to each side of the equation. -8 + 8 + 0.8y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 0.8y = 4 + 8 0.8y = 4 + 8 Combine like terms: 4 + 8 = 12 0.8y = 12 Divide each side by '0.8'. y = 15 Simplifying y = 15
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