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Simplifying 7(2y + -8) + -1(4y + 2) = 0 Reorder the terms: 7(-8 + 2y) + -1(4y + 2) = 0 (-8 * 7 + 2y * 7) + -1(4y + 2) = 0 (-56 + 14y) + -1(4y + 2) = 0 Reorder the terms: -56 + 14y + -1(2 + 4y) = 0 -56 + 14y + (2 * -1 + 4y * -1) = 0 -56 + 14y + (-2 + -4y) = 0 Reorder the terms: -56 + -2 + 14y + -4y = 0 Combine like terms: -56 + -2 = -58 -58 + 14y + -4y = 0 Combine like terms: 14y + -4y = 10y -58 + 10y = 0 Solving -58 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 10y = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 10y = 0 + 58 10y = 0 + 58 Combine like terms: 0 + 58 = 58 10y = 58 Divide each side by '10'. y = 5.8 Simplifying y = 5.8
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