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Simplifying -5(3y + 7) + 3(y + -3) = 0 Reorder the terms: -5(7 + 3y) + 3(y + -3) = 0 (7 * -5 + 3y * -5) + 3(y + -3) = 0 (-35 + -15y) + 3(y + -3) = 0 Reorder the terms: -35 + -15y + 3(-3 + y) = 0 -35 + -15y + (-3 * 3 + y * 3) = 0 -35 + -15y + (-9 + 3y) = 0 Reorder the terms: -35 + -9 + -15y + 3y = 0 Combine like terms: -35 + -9 = -44 -44 + -15y + 3y = 0 Combine like terms: -15y + 3y = -12y -44 + -12y = 0 Solving -44 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -12y = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -12y = 0 + 44 -12y = 0 + 44 Combine like terms: 0 + 44 = 44 -12y = 44 Divide each side by '-12'. y = -3.666666667 Simplifying y = -3.666666667
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