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Simplifying 4(y + -4) = -6(7 + y) Reorder the terms: 4(-4 + y) = -6(7 + y) (-4 * 4 + y * 4) = -6(7 + y) (-16 + 4y) = -6(7 + y) -16 + 4y = (7 * -6 + y * -6) -16 + 4y = (-42 + -6y) Solving -16 + 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. -16 + 4y + 6y = -42 + -6y + 6y Combine like terms: 4y + 6y = 10y -16 + 10y = -42 + -6y + 6y Combine like terms: -6y + 6y = 0 -16 + 10y = -42 + 0 -16 + 10y = -42 Add '16' to each side of the equation. -16 + 16 + 10y = -42 + 16 Combine like terms: -16 + 16 = 0 0 + 10y = -42 + 16 10y = -42 + 16 Combine like terms: -42 + 16 = -26 10y = -26 Divide each side by '10'. y = -2.6 Simplifying y = -2.6
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