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Simplifying 4(y + 3) = 2y + -1(5y + -27) Reorder the terms: 4(3 + y) = 2y + -1(5y + -27) (3 * 4 + y * 4) = 2y + -1(5y + -27) (12 + 4y) = 2y + -1(5y + -27) Reorder the terms: 12 + 4y = 2y + -1(-27 + 5y) 12 + 4y = 2y + (-27 * -1 + 5y * -1) 12 + 4y = 2y + (27 + -5y) Reorder the terms: 12 + 4y = 27 + 2y + -5y Combine like terms: 2y + -5y = -3y 12 + 4y = 27 + -3y Solving 12 + 4y = 27 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 12 + 4y + 3y = 27 + -3y + 3y Combine like terms: 4y + 3y = 7y 12 + 7y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 7y = 27 + 0 12 + 7y = 27 Add '-12' to each side of the equation. 12 + -12 + 7y = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = 27 + -12 7y = 27 + -12 Combine like terms: 27 + -12 = 15 7y = 15 Divide each side by '7'. y = 2.142857143 Simplifying y = 2.142857143
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