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Simplifying 2(y + -2) = 5(2y + 4) Reorder the terms: 2(-2 + y) = 5(2y + 4) (-2 * 2 + y * 2) = 5(2y + 4) (-4 + 2y) = 5(2y + 4) Reorder the terms: -4 + 2y = 5(4 + 2y) -4 + 2y = (4 * 5 + 2y * 5) -4 + 2y = (20 + 10y) Solving -4 + 2y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -4 + 2y + -10y = 20 + 10y + -10y Combine like terms: 2y + -10y = -8y -4 + -8y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 -4 + -8y = 20 + 0 -4 + -8y = 20 Add '4' to each side of the equation. -4 + 4 + -8y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -8y = 20 + 4 -8y = 20 + 4 Combine like terms: 20 + 4 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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