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Simplifying 4(y + -6) = -6(6 + y) Reorder the terms: 4(-6 + y) = -6(6 + y) (-6 * 4 + y * 4) = -6(6 + y) (-24 + 4y) = -6(6 + y) -24 + 4y = (6 * -6 + y * -6) -24 + 4y = (-36 + -6y) Solving -24 + 4y = -36 + -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. -24 + 4y + 6y = -36 + -6y + 6y Combine like terms: 4y + 6y = 10y -24 + 10y = -36 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 10y = -36 + 0 -24 + 10y = -36 Add '24' to each side of the equation. -24 + 24 + 10y = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = -36 + 24 10y = -36 + 24 Combine like terms: -36 + 24 = -12 10y = -12 Divide each side by '10'. y = -1.2 Simplifying y = -1.2
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