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Simplifying 4y + -1(7y + 20) = 3 + -1(8y + -4) Reorder the terms: 4y + -1(20 + 7y) = 3 + -1(8y + -4) 4y + (20 * -1 + 7y * -1) = 3 + -1(8y + -4) 4y + (-20 + -7y) = 3 + -1(8y + -4) Reorder the terms: -20 + 4y + -7y = 3 + -1(8y + -4) Combine like terms: 4y + -7y = -3y -20 + -3y = 3 + -1(8y + -4) Reorder the terms: -20 + -3y = 3 + -1(-4 + 8y) -20 + -3y = 3 + (-4 * -1 + 8y * -1) -20 + -3y = 3 + (4 + -8y) Combine like terms: 3 + 4 = 7 -20 + -3y = 7 + -8y Solving -20 + -3y = 7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -20 + -3y + 8y = 7 + -8y + 8y Combine like terms: -3y + 8y = 5y -20 + 5y = 7 + -8y + 8y Combine like terms: -8y + 8y = 0 -20 + 5y = 7 + 0 -20 + 5y = 7 Add '20' to each side of the equation. -20 + 20 + 5y = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 5y = 7 + 20 5y = 7 + 20 Combine like terms: 7 + 20 = 27 5y = 27 Divide each side by '5'. y = 5.4 Simplifying y = 5.4
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