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Simplifying 4(y + -7) = -6(4 + y) Reorder the terms: 4(-7 + y) = -6(4 + y) (-7 * 4 + y * 4) = -6(4 + y) (-28 + 4y) = -6(4 + y) -28 + 4y = (4 * -6 + y * -6) -28 + 4y = (-24 + -6y) Solving -28 + 4y = -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. -28 + 4y + 6y = -24 + -6y + 6y Combine like terms: 4y + 6y = 10y -28 + 10y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -28 + 10y = -24 + 0 -28 + 10y = -24 Add '28' to each side of the equation. -28 + 28 + 10y = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 10y = -24 + 28 10y = -24 + 28 Combine like terms: -24 + 28 = 4 10y = 4 Divide each side by '10'. y = 0.4 Simplifying y = 0.4
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