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Simplifying -4(4y + -10) + 3(2y + 7) = 0 Reorder the terms: -4(-10 + 4y) + 3(2y + 7) = 0 (-10 * -4 + 4y * -4) + 3(2y + 7) = 0 (40 + -16y) + 3(2y + 7) = 0 Reorder the terms: 40 + -16y + 3(7 + 2y) = 0 40 + -16y + (7 * 3 + 2y * 3) = 0 40 + -16y + (21 + 6y) = 0 Reorder the terms: 40 + 21 + -16y + 6y = 0 Combine like terms: 40 + 21 = 61 61 + -16y + 6y = 0 Combine like terms: -16y + 6y = -10y 61 + -10y = 0 Solving 61 + -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -10y = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -10y = 0 + -61 -10y = 0 + -61 Combine like terms: 0 + -61 = -61 -10y = -61 Divide each side by '-10'. y = 6.1 Simplifying y = 6.1
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