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Simplifying 7(y + -4) + -5(y + 6) = 8 Reorder the terms: 7(-4 + y) + -5(y + 6) = 8 (-4 * 7 + y * 7) + -5(y + 6) = 8 (-28 + 7y) + -5(y + 6) = 8 Reorder the terms: -28 + 7y + -5(6 + y) = 8 -28 + 7y + (6 * -5 + y * -5) = 8 -28 + 7y + (-30 + -5y) = 8 Reorder the terms: -28 + -30 + 7y + -5y = 8 Combine like terms: -28 + -30 = -58 -58 + 7y + -5y = 8 Combine like terms: 7y + -5y = 2y -58 + 2y = 8 Solving -58 + 2y = 8 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 + 2y = 8 + 58 Combine like terms: -58 + 58 = 0 0 + 2y = 8 + 58 2y = 8 + 58 Combine like terms: 8 + 58 = 66 2y = 66 Divide each side by '2'. y = 33 Simplifying y = 33
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