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Simplifying -5(y + 2) = 5y + -8 + 2(3y + 4) Reorder the terms: -5(2 + y) = 5y + -8 + 2(3y + 4) (2 * -5 + y * -5) = 5y + -8 + 2(3y + 4) (-10 + -5y) = 5y + -8 + 2(3y + 4) Reorder the terms: -10 + -5y = 5y + -8 + 2(4 + 3y) -10 + -5y = 5y + -8 + (4 * 2 + 3y * 2) -10 + -5y = 5y + -8 + (8 + 6y) Reorder the terms: -10 + -5y = -8 + 8 + 5y + 6y Combine like terms: -8 + 8 = 0 -10 + -5y = 0 + 5y + 6y -10 + -5y = 5y + 6y Combine like terms: 5y + 6y = 11y -10 + -5y = 11y Solving -10 + -5y = 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -10 + -5y + -11y = 11y + -11y Combine like terms: -5y + -11y = -16y -10 + -16y = 11y + -11y Combine like terms: 11y + -11y = 0 -10 + -16y = 0 Add '10' to each side of the equation. -10 + 10 + -16y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -16y = 0 + 10 -16y = 0 + 10 Combine like terms: 0 + 10 = 10 -16y = 10 Divide each side by '-16'. y = -0.625 Simplifying y = -0.625
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