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