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Simplifying 7(2y + -6) + -1(4y + 2) = 0 Reorder the terms: 7(-6 + 2y) + -1(4y + 2) = 0 (-6 * 7 + 2y * 7) + -1(4y + 2) = 0 (-42 + 14y) + -1(4y + 2) = 0 Reorder the terms: -42 + 14y + -1(2 + 4y) = 0 -42 + 14y + (2 * -1 + 4y * -1) = 0 -42 + 14y + (-2 + -4y) = 0 Reorder the terms: -42 + -2 + 14y + -4y = 0 Combine like terms: -42 + -2 = -44 -44 + 14y + -4y = 0 Combine like terms: 14y + -4y = 10y -44 + 10y = 0 Solving -44 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 10y = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 10y = 0 + 44 10y = 0 + 44 Combine like terms: 0 + 44 = 44 10y = 44 Divide each side by '10'. y = 4.4 Simplifying y = 4.4
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