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Simplifying 2(3y + -7) + 3y + -1(y + -10) = 0 Reorder the terms: 2(-7 + 3y) + 3y + -1(y + -10) = 0 (-7 * 2 + 3y * 2) + 3y + -1(y + -10) = 0 (-14 + 6y) + 3y + -1(y + -10) = 0 Reorder the terms: -14 + 6y + 3y + -1(-10 + y) = 0 -14 + 6y + 3y + (-10 * -1 + y * -1) = 0 -14 + 6y + 3y + (10 + -1y) = 0 Reorder the terms: -14 + 10 + 6y + 3y + -1y = 0 Combine like terms: -14 + 10 = -4 -4 + 6y + 3y + -1y = 0 Combine like terms: 6y + 3y = 9y -4 + 9y + -1y = 0 Combine like terms: 9y + -1y = 8y -4 + 8y = 0 Solving -4 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 0 + 4 8y = 0 + 4 Combine like terms: 0 + 4 = 4 8y = 4 Divide each side by '8'. y = 0.5 Simplifying y = 0.5
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