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Simplifying 5(y + -2) + -8y = -7 Reorder the terms: 5(-2 + y) + -8y = -7 (-2 * 5 + y * 5) + -8y = -7 (-10 + 5y) + -8y = -7 Combine like terms: 5y + -8y = -3y -10 + -3y = -7 Solving -10 + -3y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3y = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = -7 + 10 -3y = -7 + 10 Combine like terms: -7 + 10 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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