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Simplifying 0.2(4y + -3) = y + -2 Reorder the terms: 0.2(-3 + 4y) = y + -2 (-3 * 0.2 + 4y * 0.2) = y + -2 (-0.6 + 0.8y) = y + -2 Reorder the terms: -0.6 + 0.8y = -2 + y Solving -0.6 + 0.8y = -2 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -0.6 + 0.8y + -1y = -2 + y + -1y Combine like terms: 0.8y + -1y = -0.2y -0.6 + -0.2y = -2 + y + -1y Combine like terms: y + -1y = 0 -0.6 + -0.2y = -2 + 0 -0.6 + -0.2y = -2 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.2y = -2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.2y = -2 + 0.6 -0.2y = -2 + 0.6 Combine like terms: -2 + 0.6 = -1.4 -0.2y = -1.4 Divide each side by '-0.2'. y = 7 Simplifying y = 7
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