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Simplifying 7(2y + -3) + -5(3y + -1) = 0 Reorder the terms: 7(-3 + 2y) + -5(3y + -1) = 0 (-3 * 7 + 2y * 7) + -5(3y + -1) = 0 (-21 + 14y) + -5(3y + -1) = 0 Reorder the terms: -21 + 14y + -5(-1 + 3y) = 0 -21 + 14y + (-1 * -5 + 3y * -5) = 0 -21 + 14y + (5 + -15y) = 0 Reorder the terms: -21 + 5 + 14y + -15y = 0 Combine like terms: -21 + 5 = -16 -16 + 14y + -15y = 0 Combine like terms: 14y + -15y = -1y -16 + -1y = 0 Solving -16 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = 0 + 16 -1y = 0 + 16 Combine like terms: 0 + 16 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16
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