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Simplifying 4(30 + -4y) = 4y + 500 (30 * 4 + -4y * 4) = 4y + 500 (120 + -16y) = 4y + 500 Reorder the terms: 120 + -16y = 500 + 4y Solving 120 + -16y = 500 + 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. 120 + -16y + -4y = 500 + 4y + -4y Combine like terms: -16y + -4y = -20y 120 + -20y = 500 + 4y + -4y Combine like terms: 4y + -4y = 0 120 + -20y = 500 + 0 120 + -20y = 500 Add '-120' to each side of the equation. 120 + -120 + -20y = 500 + -120 Combine like terms: 120 + -120 = 0 0 + -20y = 500 + -120 -20y = 500 + -120 Combine like terms: 500 + -120 = 380 -20y = 380 Divide each side by '-20'. y = -19 Simplifying y = -19
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