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Simplifying 3(5 + -3)(y + -4) = 2y + 7 Combine like terms: 5 + -3 = 2 3(2)(y + -4) = 2y + 7 Reorder the terms: 3 * 2(-4 + y) = 2y + 7 Multiply 3 * 2 6(-4 + y) = 2y + 7 (-4 * 6 + y * 6) = 2y + 7 (-24 + 6y) = 2y + 7 Reorder the terms: -24 + 6y = 7 + 2y Solving -24 + 6y = 7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 6y + -2y = 7 + 2y + -2y Combine like terms: 6y + -2y = 4y -24 + 4y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 4y = 7 + 0 -24 + 4y = 7 Add '24' to each side of the equation. -24 + 24 + 4y = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 7 + 24 4y = 7 + 24 Combine like terms: 7 + 24 = 31 4y = 31 Divide each side by '4'. y = 7.75 Simplifying y = 7.75
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