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Simplifying 4(y + -6) = 3(9 + y) Reorder the terms: 4(-6 + y) = 3(9 + y) (-6 * 4 + y * 4) = 3(9 + y) (-24 + 4y) = 3(9 + y) -24 + 4y = (9 * 3 + y * 3) -24 + 4y = (27 + 3y) Solving -24 + 4y = 27 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -24 + 4y + -3y = 27 + 3y + -3y Combine like terms: 4y + -3y = 1y -24 + 1y = 27 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 1y = 27 + 0 -24 + 1y = 27 Add '24' to each side of the equation. -24 + 24 + 1y = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 1y = 27 + 24 1y = 27 + 24 Combine like terms: 27 + 24 = 51 1y = 51 Divide each side by '1'. y = 51 Simplifying y = 51
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