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Simplifying -3(2y + -4) + 7(y + -10) = -41 + -9 Reorder the terms: -3(-4 + 2y) + 7(y + -10) = -41 + -9 (-4 * -3 + 2y * -3) + 7(y + -10) = -41 + -9 (12 + -6y) + 7(y + -10) = -41 + -9 Reorder the terms: 12 + -6y + 7(-10 + y) = -41 + -9 12 + -6y + (-10 * 7 + y * 7) = -41 + -9 12 + -6y + (-70 + 7y) = -41 + -9 Reorder the terms: 12 + -70 + -6y + 7y = -41 + -9 Combine like terms: 12 + -70 = -58 -58 + -6y + 7y = -41 + -9 Combine like terms: -6y + 7y = 1y -58 + 1y = -41 + -9 Combine like terms: -41 + -9 = -50 -58 + 1y = -50 Solving -58 + 1y = -50 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 1y = -50 + 58 Combine like terms: -58 + 58 = 0 0 + 1y = -50 + 58 1y = -50 + 58 Combine like terms: -50 + 58 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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