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Simplifying 5(y + -2) = 8(y + 7) Reorder the terms: 5(-2 + y) = 8(y + 7) (-2 * 5 + y * 5) = 8(y + 7) (-10 + 5y) = 8(y + 7) Reorder the terms: -10 + 5y = 8(7 + y) -10 + 5y = (7 * 8 + y * 8) -10 + 5y = (56 + 8y) Solving -10 + 5y = 56 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -10 + 5y + -8y = 56 + 8y + -8y Combine like terms: 5y + -8y = -3y -10 + -3y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -10 + -3y = 56 + 0 -10 + -3y = 56 Add '10' to each side of the equation. -10 + 10 + -3y = 56 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = 56 + 10 -3y = 56 + 10 Combine like terms: 56 + 10 = 66 -3y = 66 Divide each side by '-3'. y = -22 Simplifying y = -22
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