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Simplifying -5(4y + -7) = -4(y + -5) Reorder the terms: -5(-7 + 4y) = -4(y + -5) (-7 * -5 + 4y * -5) = -4(y + -5) (35 + -20y) = -4(y + -5) Reorder the terms: 35 + -20y = -4(-5 + y) 35 + -20y = (-5 * -4 + y * -4) 35 + -20y = (20 + -4y) Solving 35 + -20y = 20 + -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. 35 + -20y + 4y = 20 + -4y + 4y Combine like terms: -20y + 4y = -16y 35 + -16y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -16y = 20 + 0 35 + -16y = 20 Add '-35' to each side of the equation. 35 + -35 + -16y = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -16y = 20 + -35 -16y = 20 + -35 Combine like terms: 20 + -35 = -15 -16y = -15 Divide each side by '-16'. y = 0.9375 Simplifying y = 0.9375
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