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Simplifying -4y + -1(5y + -3) = 4(4y + -5) + -2 Reorder the terms: -4y + -1(-3 + 5y) = 4(4y + -5) + -2 -4y + (-3 * -1 + 5y * -1) = 4(4y + -5) + -2 -4y + (3 + -5y) = 4(4y + -5) + -2 Reorder the terms: 3 + -4y + -5y = 4(4y + -5) + -2 Combine like terms: -4y + -5y = -9y 3 + -9y = 4(4y + -5) + -2 Reorder the terms: 3 + -9y = 4(-5 + 4y) + -2 3 + -9y = (-5 * 4 + 4y * 4) + -2 3 + -9y = (-20 + 16y) + -2 Reorder the terms: 3 + -9y = -20 + -2 + 16y Combine like terms: -20 + -2 = -22 3 + -9y = -22 + 16y Solving 3 + -9y = -22 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 3 + -9y + -16y = -22 + 16y + -16y Combine like terms: -9y + -16y = -25y 3 + -25y = -22 + 16y + -16y Combine like terms: 16y + -16y = 0 3 + -25y = -22 + 0 3 + -25y = -22 Add '-3' to each side of the equation. 3 + -3 + -25y = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -25y = -22 + -3 -25y = -22 + -3 Combine like terms: -22 + -3 = -25 -25y = -25 Divide each side by '-25'. y = 1 Simplifying y = 1
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