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Simplifying 5y + 3(y + -6) = 4(y + 2) + -3 Reorder the terms: 5y + 3(-6 + y) = 4(y + 2) + -3 5y + (-6 * 3 + y * 3) = 4(y + 2) + -3 5y + (-18 + 3y) = 4(y + 2) + -3 Reorder the terms: -18 + 5y + 3y = 4(y + 2) + -3 Combine like terms: 5y + 3y = 8y -18 + 8y = 4(y + 2) + -3 Reorder the terms: -18 + 8y = 4(2 + y) + -3 -18 + 8y = (2 * 4 + y * 4) + -3 -18 + 8y = (8 + 4y) + -3 Reorder the terms: -18 + 8y = 8 + -3 + 4y Combine like terms: 8 + -3 = 5 -18 + 8y = 5 + 4y Solving -18 + 8y = 5 + 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. -18 + 8y + -4y = 5 + 4y + -4y Combine like terms: 8y + -4y = 4y -18 + 4y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 4y = 5 + 0 -18 + 4y = 5 Add '18' to each side of the equation. -18 + 18 + 4y = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = 5 + 18 4y = 5 + 18 Combine like terms: 5 + 18 = 23 4y = 23 Divide each side by '4'. y = 5.75 Simplifying y = 5.75
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