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Simplifying 7(y + -4) = 4(y + 3) Reorder the terms: 7(-4 + y) = 4(y + 3) (-4 * 7 + y * 7) = 4(y + 3) (-28 + 7y) = 4(y + 3) Reorder the terms: -28 + 7y = 4(3 + y) -28 + 7y = (3 * 4 + y * 4) -28 + 7y = (12 + 4y) Solving -28 + 7y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -28 + 7y + -4y = 12 + 4y + -4y Combine like terms: 7y + -4y = 3y -28 + 3y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -28 + 3y = 12 + 0 -28 + 3y = 12 Add '28' to each side of the equation. -28 + 28 + 3y = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 3y = 12 + 28 3y = 12 + 28 Combine like terms: 12 + 28 = 40 3y = 40 Divide each side by '3'. y = 13.33333333 Simplifying y = 13.33333333
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