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Simplifying 4(y + -3) = -6(3 + y) Reorder the terms: 4(-3 + y) = -6(3 + y) (-3 * 4 + y * 4) = -6(3 + y) (-12 + 4y) = -6(3 + y) -12 + 4y = (3 * -6 + y * -6) -12 + 4y = (-18 + -6y) Solving -12 + 4y = -18 + -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. -12 + 4y + 6y = -18 + -6y + 6y Combine like terms: 4y + 6y = 10y -12 + 10y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 -12 + 10y = -18 + 0 -12 + 10y = -18 Add '12' to each side of the equation. -12 + 12 + 10y = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = -18 + 12 10y = -18 + 12 Combine like terms: -18 + 12 = -6 10y = -6 Divide each side by '10'. y = -0.6 Simplifying y = -0.6
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