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Simplifying -4(4y + -5) + -1y = -3(y + -2) Reorder the terms: -4(-5 + 4y) + -1y = -3(y + -2) (-5 * -4 + 4y * -4) + -1y = -3(y + -2) (20 + -16y) + -1y = -3(y + -2) Combine like terms: -16y + -1y = -17y 20 + -17y = -3(y + -2) Reorder the terms: 20 + -17y = -3(-2 + y) 20 + -17y = (-2 * -3 + y * -3) 20 + -17y = (6 + -3y) Solving 20 + -17y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 20 + -17y + 3y = 6 + -3y + 3y Combine like terms: -17y + 3y = -14y 20 + -14y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 20 + -14y = 6 + 0 20 + -14y = 6 Add '-20' to each side of the equation. 20 + -20 + -14y = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -14y = 6 + -20 -14y = 6 + -20 Combine like terms: 6 + -20 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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