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Simplifying 3(y + -3) = 6(y + -4) Reorder the terms: 3(-3 + y) = 6(y + -4) (-3 * 3 + y * 3) = 6(y + -4) (-9 + 3y) = 6(y + -4) Reorder the terms: -9 + 3y = 6(-4 + y) -9 + 3y = (-4 * 6 + y * 6) -9 + 3y = (-24 + 6y) Solving -9 + 3y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -9 + 3y + -6y = -24 + 6y + -6y Combine like terms: 3y + -6y = -3y -9 + -3y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + -3y = -24 + 0 -9 + -3y = -24 Add '9' to each side of the equation. -9 + 9 + -3y = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -3y = -24 + 9 -3y = -24 + 9 Combine like terms: -24 + 9 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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