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Simplifying 6(y + -7) = -4(7 + y) Reorder the terms: 6(-7 + y) = -4(7 + y) (-7 * 6 + y * 6) = -4(7 + y) (-42 + 6y) = -4(7 + y) -42 + 6y = (7 * -4 + y * -4) -42 + 6y = (-28 + -4y) Solving -42 + 6y = -28 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -42 + 6y + 4y = -28 + -4y + 4y Combine like terms: 6y + 4y = 10y -42 + 10y = -28 + -4y + 4y Combine like terms: -4y + 4y = 0 -42 + 10y = -28 + 0 -42 + 10y = -28 Add '42' to each side of the equation. -42 + 42 + 10y = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 10y = -28 + 42 10y = -28 + 42 Combine like terms: -28 + 42 = 14 10y = 14 Divide each side by '10'. y = 1.4 Simplifying y = 1.4
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