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Simplifying -4(5 + -3y) = 5y + -1(-2y + -30) (5 * -4 + -3y * -4) = 5y + -1(-2y + -30) (-20 + 12y) = 5y + -1(-2y + -30) Reorder the terms: -20 + 12y = 5y + -1(-30 + -2y) -20 + 12y = 5y + (-30 * -1 + -2y * -1) -20 + 12y = 5y + (30 + 2y) Reorder the terms: -20 + 12y = 30 + 5y + 2y Combine like terms: 5y + 2y = 7y -20 + 12y = 30 + 7y Solving -20 + 12y = 30 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -20 + 12y + -7y = 30 + 7y + -7y Combine like terms: 12y + -7y = 5y -20 + 5y = 30 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + 5y = 30 + 0 -20 + 5y = 30 Add '20' to each side of the equation. -20 + 20 + 5y = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 5y = 30 + 20 5y = 30 + 20 Combine like terms: 30 + 20 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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