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Simplifying 4(y + -9) = -6(7 + y) Reorder the terms: 4(-9 + y) = -6(7 + y) (-9 * 4 + y * 4) = -6(7 + y) (-36 + 4y) = -6(7 + y) -36 + 4y = (7 * -6 + y * -6) -36 + 4y = (-42 + -6y) Solving -36 + 4y = -42 + -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. -36 + 4y + 6y = -42 + -6y + 6y Combine like terms: 4y + 6y = 10y -36 + 10y = -42 + -6y + 6y Combine like terms: -6y + 6y = 0 -36 + 10y = -42 + 0 -36 + 10y = -42 Add '36' to each side of the equation. -36 + 36 + 10y = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 10y = -42 + 36 10y = -42 + 36 Combine like terms: -42 + 36 = -6 10y = -6 Divide each side by '10'. y = -0.6 Simplifying y = -0.6
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