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Simplifying 4(5 + -3y) + -2(4 + -1y) + 2 = 12 (5 * 4 + -3y * 4) + -2(4 + -1y) + 2 = 12 (20 + -12y) + -2(4 + -1y) + 2 = 12 20 + -12y + (4 * -2 + -1y * -2) + 2 = 12 20 + -12y + (-8 + 2y) + 2 = 12 Reorder the terms: 20 + -8 + 2 + -12y + 2y = 12 Combine like terms: 20 + -8 = 12 12 + 2 + -12y + 2y = 12 Combine like terms: 12 + 2 = 14 14 + -12y + 2y = 12 Combine like terms: -12y + 2y = -10y 14 + -10y = 12 Solving 14 + -10y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -10y = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -10y = 12 + -14 -10y = 12 + -14 Combine like terms: 12 + -14 = -2 -10y = -2 Divide each side by '-10'. y = 0.2 Simplifying y = 0.2
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