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Simplifying 5y + 3(y + -3) = 4(y + 1) + -2 Reorder the terms: 5y + 3(-3 + y) = 4(y + 1) + -2 5y + (-3 * 3 + y * 3) = 4(y + 1) + -2 5y + (-9 + 3y) = 4(y + 1) + -2 Reorder the terms: -9 + 5y + 3y = 4(y + 1) + -2 Combine like terms: 5y + 3y = 8y -9 + 8y = 4(y + 1) + -2 Reorder the terms: -9 + 8y = 4(1 + y) + -2 -9 + 8y = (1 * 4 + y * 4) + -2 -9 + 8y = (4 + 4y) + -2 Reorder the terms: -9 + 8y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -9 + 8y = 2 + 4y Solving -9 + 8y = 2 + 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. -9 + 8y + -4y = 2 + 4y + -4y Combine like terms: 8y + -4y = 4y -9 + 4y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + 4y = 2 + 0 -9 + 4y = 2 Add '9' to each side of the equation. -9 + 9 + 4y = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 4y = 2 + 9 4y = 2 + 9 Combine like terms: 2 + 9 = 11 4y = 11 Divide each side by '4'. y = 2.75 Simplifying y = 2.75
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