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Simplifying 10(y + -6) + -6(y + -3) = 0 Reorder the terms: 10(-6 + y) + -6(y + -3) = 0 (-6 * 10 + y * 10) + -6(y + -3) = 0 (-60 + 10y) + -6(y + -3) = 0 Reorder the terms: -60 + 10y + -6(-3 + y) = 0 -60 + 10y + (-3 * -6 + y * -6) = 0 -60 + 10y + (18 + -6y) = 0 Reorder the terms: -60 + 18 + 10y + -6y = 0 Combine like terms: -60 + 18 = -42 -42 + 10y + -6y = 0 Combine like terms: 10y + -6y = 4y -42 + 4y = 0 Solving -42 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 4y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = 0 + 42 4y = 0 + 42 Combine like terms: 0 + 42 = 42 4y = 42 Divide each side by '4'. y = 10.5 Simplifying y = 10.5
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