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Simplifying 4(5y + 3) + -5(5y + 1) = 27 Reorder the terms: 4(3 + 5y) + -5(5y + 1) = 27 (3 * 4 + 5y * 4) + -5(5y + 1) = 27 (12 + 20y) + -5(5y + 1) = 27 Reorder the terms: 12 + 20y + -5(1 + 5y) = 27 12 + 20y + (1 * -5 + 5y * -5) = 27 12 + 20y + (-5 + -25y) = 27 Reorder the terms: 12 + -5 + 20y + -25y = 27 Combine like terms: 12 + -5 = 7 7 + 20y + -25y = 27 Combine like terms: 20y + -25y = -5y 7 + -5y = 27 Solving 7 + -5y = 27 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5y = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 27 + -7 -5y = 27 + -7 Combine like terms: 27 + -7 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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