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Simplifying 4(y + 7) = -2(6y + -9) + 2y Reorder the terms: 4(7 + y) = -2(6y + -9) + 2y (7 * 4 + y * 4) = -2(6y + -9) + 2y (28 + 4y) = -2(6y + -9) + 2y Reorder the terms: 28 + 4y = -2(-9 + 6y) + 2y 28 + 4y = (-9 * -2 + 6y * -2) + 2y 28 + 4y = (18 + -12y) + 2y Combine like terms: -12y + 2y = -10y 28 + 4y = 18 + -10y Solving 28 + 4y = 18 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 28 + 4y + 10y = 18 + -10y + 10y Combine like terms: 4y + 10y = 14y 28 + 14y = 18 + -10y + 10y Combine like terms: -10y + 10y = 0 28 + 14y = 18 + 0 28 + 14y = 18 Add '-28' to each side of the equation. 28 + -28 + 14y = 18 + -28 Combine like terms: 28 + -28 = 0 0 + 14y = 18 + -28 14y = 18 + -28 Combine like terms: 18 + -28 = -10 14y = -10 Divide each side by '14'. y = -0.7142857143 Simplifying y = -0.7142857143
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