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Simplifying -5(3y + -7) + -2(6 + 4y) = 0 Reorder the terms: -5(-7 + 3y) + -2(6 + 4y) = 0 (-7 * -5 + 3y * -5) + -2(6 + 4y) = 0 (35 + -15y) + -2(6 + 4y) = 0 35 + -15y + (6 * -2 + 4y * -2) = 0 35 + -15y + (-12 + -8y) = 0 Reorder the terms: 35 + -12 + -15y + -8y = 0 Combine like terms: 35 + -12 = 23 23 + -15y + -8y = 0 Combine like terms: -15y + -8y = -23y 23 + -23y = 0 Solving 23 + -23y = 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 + -23y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -23y = 0 + -23 -23y = 0 + -23 Combine like terms: 0 + -23 = -23 -23y = -23 Divide each side by '-23'. y = 1 Simplifying y = 1
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