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Simplifying 4(y + 7) = -4(2y + -5) + 2y Reorder the terms: 4(7 + y) = -4(2y + -5) + 2y (7 * 4 + y * 4) = -4(2y + -5) + 2y (28 + 4y) = -4(2y + -5) + 2y Reorder the terms: 28 + 4y = -4(-5 + 2y) + 2y 28 + 4y = (-5 * -4 + 2y * -4) + 2y 28 + 4y = (20 + -8y) + 2y Combine like terms: -8y + 2y = -6y 28 + 4y = 20 + -6y Solving 28 + 4y = 20 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 28 + 4y + 6y = 20 + -6y + 6y Combine like terms: 4y + 6y = 10y 28 + 10y = 20 + -6y + 6y Combine like terms: -6y + 6y = 0 28 + 10y = 20 + 0 28 + 10y = 20 Add '-28' to each side of the equation. 28 + -28 + 10y = 20 + -28 Combine like terms: 28 + -28 = 0 0 + 10y = 20 + -28 10y = 20 + -28 Combine like terms: 20 + -28 = -8 10y = -8 Divide each side by '10'. y = -0.8 Simplifying y = -0.8
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