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Simplifying -2(y + 2) = 3y + -8 + 2(5y + 5) Reorder the terms: -2(2 + y) = 3y + -8 + 2(5y + 5) (2 * -2 + y * -2) = 3y + -8 + 2(5y + 5) (-4 + -2y) = 3y + -8 + 2(5y + 5) Reorder the terms: -4 + -2y = 3y + -8 + 2(5 + 5y) -4 + -2y = 3y + -8 + (5 * 2 + 5y * 2) -4 + -2y = 3y + -8 + (10 + 10y) Reorder the terms: -4 + -2y = -8 + 10 + 3y + 10y Combine like terms: -8 + 10 = 2 -4 + -2y = 2 + 3y + 10y Combine like terms: 3y + 10y = 13y -4 + -2y = 2 + 13y Solving -4 + -2y = 2 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -4 + -2y + -13y = 2 + 13y + -13y Combine like terms: -2y + -13y = -15y -4 + -15y = 2 + 13y + -13y Combine like terms: 13y + -13y = 0 -4 + -15y = 2 + 0 -4 + -15y = 2 Add '4' to each side of the equation. -4 + 4 + -15y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -15y = 2 + 4 -15y = 2 + 4 Combine like terms: 2 + 4 = 6 -15y = 6 Divide each side by '-15'. y = -0.4 Simplifying y = -0.4
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