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Simplifying 5y + 3(y + -6) = 4y + 2 + -3 Reorder the terms: 5y + 3(-6 + y) = 4y + 2 + -3 5y + (-6 * 3 + y * 3) = 4y + 2 + -3 5y + (-18 + 3y) = 4y + 2 + -3 Reorder the terms: -18 + 5y + 3y = 4y + 2 + -3 Combine like terms: 5y + 3y = 8y -18 + 8y = 4y + 2 + -3 Reorder the terms: -18 + 8y = 2 + -3 + 4y Combine like terms: 2 + -3 = -1 -18 + 8y = -1 + 4y Solving -18 + 8y = -1 + 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 = -1 + 4y + -4y Combine like terms: 8y + -4y = 4y -18 + 4y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 4y = -1 + 0 -18 + 4y = -1 Add '18' to each side of the equation. -18 + 18 + 4y = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -1 + 18 4y = -1 + 18 Combine like terms: -1 + 18 = 17 4y = 17 Divide each side by '4'. y = 4.25 Simplifying y = 4.25
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