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Simplifying 3y + -4(4y + -5) = -4 + -4(-4 + -1y) Reorder the terms: 3y + -4(-5 + 4y) = -4 + -4(-4 + -1y) 3y + (-5 * -4 + 4y * -4) = -4 + -4(-4 + -1y) 3y + (20 + -16y) = -4 + -4(-4 + -1y) Reorder the terms: 20 + 3y + -16y = -4 + -4(-4 + -1y) Combine like terms: 3y + -16y = -13y 20 + -13y = -4 + -4(-4 + -1y) 20 + -13y = -4 + (-4 * -4 + -1y * -4) 20 + -13y = -4 + (16 + 4y) Combine like terms: -4 + 16 = 12 20 + -13y = 12 + 4y Solving 20 + -13y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 20 + -13y + -4y = 12 + 4y + -4y Combine like terms: -13y + -4y = -17y 20 + -17y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 20 + -17y = 12 + 0 20 + -17y = 12 Add '-20' to each side of the equation. 20 + -20 + -17y = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -17y = 12 + -20 -17y = 12 + -20 Combine like terms: 12 + -20 = -8 -17y = -8 Divide each side by '-17'. y = 0.4705882353 Simplifying y = 0.4705882353
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