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Simplifying 5(3y + -2) + -1(7y + 2) = 0 Reorder the terms: 5(-2 + 3y) + -1(7y + 2) = 0 (-2 * 5 + 3y * 5) + -1(7y + 2) = 0 (-10 + 15y) + -1(7y + 2) = 0 Reorder the terms: -10 + 15y + -1(2 + 7y) = 0 -10 + 15y + (2 * -1 + 7y * -1) = 0 -10 + 15y + (-2 + -7y) = 0 Reorder the terms: -10 + -2 + 15y + -7y = 0 Combine like terms: -10 + -2 = -12 -12 + 15y + -7y = 0 Combine like terms: 15y + -7y = 8y -12 + 8y = 0 Solving -12 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 0 + 12 8y = 0 + 12 Combine like terms: 0 + 12 = 12 8y = 12 Divide each side by '8'. y = 1.5 Simplifying y = 1.5
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