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Simplifying 4(2y + -7) + 8 = 40 + -2y Reorder the terms: 4(-7 + 2y) + 8 = 40 + -2y (-7 * 4 + 2y * 4) + 8 = 40 + -2y (-28 + 8y) + 8 = 40 + -2y Reorder the terms: -28 + 8 + 8y = 40 + -2y Combine like terms: -28 + 8 = -20 -20 + 8y = 40 + -2y Solving -20 + 8y = 40 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -20 + 8y + 2y = 40 + -2y + 2y Combine like terms: 8y + 2y = 10y -20 + 10y = 40 + -2y + 2y Combine like terms: -2y + 2y = 0 -20 + 10y = 40 + 0 -20 + 10y = 40 Add '20' to each side of the equation. -20 + 20 + 10y = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 10y = 40 + 20 10y = 40 + 20 Combine like terms: 40 + 20 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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