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Simplifying 7(y + -4) = -3(5 + y) Reorder the terms: 7(-4 + y) = -3(5 + y) (-4 * 7 + y * 7) = -3(5 + y) (-28 + 7y) = -3(5 + y) -28 + 7y = (5 * -3 + y * -3) -28 + 7y = (-15 + -3y) Solving -28 + 7y = -15 + -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. -28 + 7y + 3y = -15 + -3y + 3y Combine like terms: 7y + 3y = 10y -28 + 10y = -15 + -3y + 3y Combine like terms: -3y + 3y = 0 -28 + 10y = -15 + 0 -28 + 10y = -15 Add '28' to each side of the equation. -28 + 28 + 10y = -15 + 28 Combine like terms: -28 + 28 = 0 0 + 10y = -15 + 28 10y = -15 + 28 Combine like terms: -15 + 28 = 13 10y = 13 Divide each side by '10'. y = 1.3 Simplifying y = 1.3
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