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Simplifying -5(2y + -3) = -4(1 + -3y) + 12 Reorder the terms: -5(-3 + 2y) = -4(1 + -3y) + 12 (-3 * -5 + 2y * -5) = -4(1 + -3y) + 12 (15 + -10y) = -4(1 + -3y) + 12 15 + -10y = (1 * -4 + -3y * -4) + 12 15 + -10y = (-4 + 12y) + 12 Reorder the terms: 15 + -10y = -4 + 12 + 12y Combine like terms: -4 + 12 = 8 15 + -10y = 8 + 12y Solving 15 + -10y = 8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 15 + -10y + -12y = 8 + 12y + -12y Combine like terms: -10y + -12y = -22y 15 + -22y = 8 + 12y + -12y Combine like terms: 12y + -12y = 0 15 + -22y = 8 + 0 15 + -22y = 8 Add '-15' to each side of the equation. 15 + -15 + -22y = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -22y = 8 + -15 -22y = 8 + -15 Combine like terms: 8 + -15 = -7 -22y = -7 Divide each side by '-22'. y = 0.3181818182 Simplifying y = 0.3181818182
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