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Simplifying -5(6 + 3y) + -7(2y + -9) = 0 (6 * -5 + 3y * -5) + -7(2y + -9) = 0 (-30 + -15y) + -7(2y + -9) = 0 Reorder the terms: -30 + -15y + -7(-9 + 2y) = 0 -30 + -15y + (-9 * -7 + 2y * -7) = 0 -30 + -15y + (63 + -14y) = 0 Reorder the terms: -30 + 63 + -15y + -14y = 0 Combine like terms: -30 + 63 = 33 33 + -15y + -14y = 0 Combine like terms: -15y + -14y = -29y 33 + -29y = 0 Solving 33 + -29y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -29y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -29y = 0 + -33 -29y = 0 + -33 Combine like terms: 0 + -33 = -33 -29y = -33 Divide each side by '-29'. y = 1.137931034 Simplifying y = 1.137931034
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