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Simplifying 4(y + -1(10 + -1y)) = 6(y + 6) 4(y + (10 * -1 + -1y * -1)) = 6(y + 6) 4(y + (-10 + 1y)) = 6(y + 6) Reorder the terms: 4(-10 + y + 1y) = 6(y + 6) Combine like terms: y + 1y = 2y 4(-10 + 2y) = 6(y + 6) (-10 * 4 + 2y * 4) = 6(y + 6) (-40 + 8y) = 6(y + 6) Reorder the terms: -40 + 8y = 6(6 + y) -40 + 8y = (6 * 6 + y * 6) -40 + 8y = (36 + 6y) Solving -40 + 8y = 36 + 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. -40 + 8y + -6y = 36 + 6y + -6y Combine like terms: 8y + -6y = 2y -40 + 2y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + 2y = 36 + 0 -40 + 2y = 36 Add '40' to each side of the equation. -40 + 40 + 2y = 36 + 40 Combine like terms: -40 + 40 = 0 0 + 2y = 36 + 40 2y = 36 + 40 Combine like terms: 36 + 40 = 76 2y = 76 Divide each side by '2'. y = 38 Simplifying y = 38
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