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Simplifying -5y + 8 = -2(y + 2) Reorder the terms: 8 + -5y = -2(y + 2) Reorder the terms: 8 + -5y = -2(2 + y) 8 + -5y = (2 * -2 + y * -2) 8 + -5y = (-4 + -2y) Solving 8 + -5y = -4 + -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. 8 + -5y + 2y = -4 + -2y + 2y Combine like terms: -5y + 2y = -3y 8 + -3y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + -3y = -4 + 0 8 + -3y = -4 Add '-8' to each side of the equation. 8 + -8 + -3y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = -4 + -8 -3y = -4 + -8 Combine like terms: -4 + -8 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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