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Simplifying -7(2y + -4) = 5(-2y + 6) Reorder the terms: -7(-4 + 2y) = 5(-2y + 6) (-4 * -7 + 2y * -7) = 5(-2y + 6) (28 + -14y) = 5(-2y + 6) Reorder the terms: 28 + -14y = 5(6 + -2y) 28 + -14y = (6 * 5 + -2y * 5) 28 + -14y = (30 + -10y) Solving 28 + -14y = 30 + -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 + -14y + 10y = 30 + -10y + 10y Combine like terms: -14y + 10y = -4y 28 + -4y = 30 + -10y + 10y Combine like terms: -10y + 10y = 0 28 + -4y = 30 + 0 28 + -4y = 30 Add '-28' to each side of the equation. 28 + -28 + -4y = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -4y = 30 + -28 -4y = 30 + -28 Combine like terms: 30 + -28 = 2 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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