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Simplifying 5(2y + 7) + 2(3y + -6) = 0 Reorder the terms: 5(7 + 2y) + 2(3y + -6) = 0 (7 * 5 + 2y * 5) + 2(3y + -6) = 0 (35 + 10y) + 2(3y + -6) = 0 Reorder the terms: 35 + 10y + 2(-6 + 3y) = 0 35 + 10y + (-6 * 2 + 3y * 2) = 0 35 + 10y + (-12 + 6y) = 0 Reorder the terms: 35 + -12 + 10y + 6y = 0 Combine like terms: 35 + -12 = 23 23 + 10y + 6y = 0 Combine like terms: 10y + 6y = 16y 23 + 16y = 0 Solving 23 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 16y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 16y = 0 + -23 16y = 0 + -23 Combine like terms: 0 + -23 = -23 16y = -23 Divide each side by '16'. y = -1.4375 Simplifying y = -1.4375
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