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Simplifying -4(4y + -5) + -1y = -4(y + -2) Reorder the terms: -4(-5 + 4y) + -1y = -4(y + -2) (-5 * -4 + 4y * -4) + -1y = -4(y + -2) (20 + -16y) + -1y = -4(y + -2) Combine like terms: -16y + -1y = -17y 20 + -17y = -4(y + -2) Reorder the terms: 20 + -17y = -4(-2 + y) 20 + -17y = (-2 * -4 + y * -4) 20 + -17y = (8 + -4y) Solving 20 + -17y = 8 + -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 + -17y + 4y = 8 + -4y + 4y Combine like terms: -17y + 4y = -13y 20 + -13y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 20 + -13y = 8 + 0 20 + -13y = 8 Add '-20' to each side of the equation. 20 + -20 + -13y = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -13y = 8 + -20 -13y = 8 + -20 Combine like terms: 8 + -20 = -12 -13y = -12 Divide each side by '-13'. y = 0.9230769231 Simplifying y = 0.9230769231
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