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Simplifying -8(y + -2) + -3(y + 3) = 10 Reorder the terms: -8(-2 + y) + -3(y + 3) = 10 (-2 * -8 + y * -8) + -3(y + 3) = 10 (16 + -8y) + -3(y + 3) = 10 Reorder the terms: 16 + -8y + -3(3 + y) = 10 16 + -8y + (3 * -3 + y * -3) = 10 16 + -8y + (-9 + -3y) = 10 Reorder the terms: 16 + -9 + -8y + -3y = 10 Combine like terms: 16 + -9 = 7 7 + -8y + -3y = 10 Combine like terms: -8y + -3y = -11y 7 + -11y = 10 Solving 7 + -11y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -11y = 10 + -7 -11y = 10 + -7 Combine like terms: 10 + -7 = 3 -11y = 3 Divide each side by '-11'. y = -0.2727272727 Simplifying y = -0.2727272727
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