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Simplifying 5y + 3(y + -6) = 4(y + 1) Reorder the terms: 5y + 3(-6 + y) = 4(y + 1) 5y + (-6 * 3 + y * 3) = 4(y + 1) 5y + (-18 + 3y) = 4(y + 1) Reorder the terms: -18 + 5y + 3y = 4(y + 1) Combine like terms: 5y + 3y = 8y -18 + 8y = 4(y + 1) Reorder the terms: -18 + 8y = 4(1 + y) -18 + 8y = (1 * 4 + y * 4) -18 + 8y = (4 + 4y) Solving -18 + 8y = 4 + 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 = 4 + 4y + -4y Combine like terms: 8y + -4y = 4y -18 + 4y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 4y = 4 + 0 -18 + 4y = 4 Add '18' to each side of the equation. -18 + 18 + 4y = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = 4 + 18 4y = 4 + 18 Combine like terms: 4 + 18 = 22 4y = 22 Divide each side by '4'. y = 5.5 Simplifying y = 5.5
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