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Simplifying -4(4y + -7) + 2(3y + 6) = 0 Reorder the terms: -4(-7 + 4y) + 2(3y + 6) = 0 (-7 * -4 + 4y * -4) + 2(3y + 6) = 0 (28 + -16y) + 2(3y + 6) = 0 Reorder the terms: 28 + -16y + 2(6 + 3y) = 0 28 + -16y + (6 * 2 + 3y * 2) = 0 28 + -16y + (12 + 6y) = 0 Reorder the terms: 28 + 12 + -16y + 6y = 0 Combine like terms: 28 + 12 = 40 40 + -16y + 6y = 0 Combine like terms: -16y + 6y = -10y 40 + -10y = 0 Solving 40 + -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -10y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10y = 0 + -40 -10y = 0 + -40 Combine like terms: 0 + -40 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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