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Simplifying 2(y + -2) = 5(y + 2) + -2 Reorder the terms: 2(-2 + y) = 5(y + 2) + -2 (-2 * 2 + y * 2) = 5(y + 2) + -2 (-4 + 2y) = 5(y + 2) + -2 Reorder the terms: -4 + 2y = 5(2 + y) + -2 -4 + 2y = (2 * 5 + y * 5) + -2 -4 + 2y = (10 + 5y) + -2 Reorder the terms: -4 + 2y = 10 + -2 + 5y Combine like terms: 10 + -2 = 8 -4 + 2y = 8 + 5y Solving -4 + 2y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 2y + -5y = 8 + 5y + -5y Combine like terms: 2y + -5y = -3y -4 + -3y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + -3y = 8 + 0 -4 + -3y = 8 Add '4' to each side of the equation. -4 + 4 + -3y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 8 + 4 -3y = 8 + 4 Combine like terms: 8 + 4 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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