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Simplifying 0.20(y + -1) + 2 = 0.30(4y + -14) Reorder the terms: 0.20(-1 + y) + 2 = 0.30(4y + -14) (-1 * 0.20 + y * 0.20) + 2 = 0.30(4y + -14) (-0.2 + 0.20y) + 2 = 0.30(4y + -14) Reorder the terms: -0.2 + 2 + 0.20y = 0.30(4y + -14) Combine like terms: -0.2 + 2 = 1.8 1.8 + 0.20y = 0.30(4y + -14) Reorder the terms: 1.8 + 0.20y = 0.30(-14 + 4y) 1.8 + 0.20y = (-14 * 0.30 + 4y * 0.30) 1.8 + 0.20y = (-4.2 + 1.2y) Solving 1.8 + 0.20y = -4.2 + 1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.2y' to each side of the equation. 1.8 + 0.20y + -1.2y = -4.2 + 1.2y + -1.2y Combine like terms: 0.20y + -1.2y = -1y 1.8 + -1y = -4.2 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 1.8 + -1y = -4.2 + 0.0 1.8 + -1y = -4.2 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -1y = -4.2 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1y = -4.2 + -1.8 -1y = -4.2 + -1.8 Combine like terms: -4.2 + -1.8 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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