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Simplifying -4(5y + -2) + -4 = -4(y + -3) Reorder the terms: -4(-2 + 5y) + -4 = -4(y + -3) (-2 * -4 + 5y * -4) + -4 = -4(y + -3) (8 + -20y) + -4 = -4(y + -3) Reorder the terms: 8 + -4 + -20y = -4(y + -3) Combine like terms: 8 + -4 = 4 4 + -20y = -4(y + -3) Reorder the terms: 4 + -20y = -4(-3 + y) 4 + -20y = (-3 * -4 + y * -4) 4 + -20y = (12 + -4y) Solving 4 + -20y = 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. 4 + -20y + 4y = 12 + -4y + 4y Combine like terms: -20y + 4y = -16y 4 + -16y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + -16y = 12 + 0 4 + -16y = 12 Add '-4' to each side of the equation. 4 + -4 + -16y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -16y = 12 + -4 -16y = 12 + -4 Combine like terms: 12 + -4 = 8 -16y = 8 Divide each side by '-16'. y = -0.5 Simplifying y = -0.5
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