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Simplifying 2(y + 2) + -5(2y + -3) = 8y + 8 Reorder the terms: 2(2 + y) + -5(2y + -3) = 8y + 8 (2 * 2 + y * 2) + -5(2y + -3) = 8y + 8 (4 + 2y) + -5(2y + -3) = 8y + 8 Reorder the terms: 4 + 2y + -5(-3 + 2y) = 8y + 8 4 + 2y + (-3 * -5 + 2y * -5) = 8y + 8 4 + 2y + (15 + -10y) = 8y + 8 Reorder the terms: 4 + 15 + 2y + -10y = 8y + 8 Combine like terms: 4 + 15 = 19 19 + 2y + -10y = 8y + 8 Combine like terms: 2y + -10y = -8y 19 + -8y = 8y + 8 Reorder the terms: 19 + -8y = 8 + 8y Solving 19 + -8y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 19 + -8y + -8y = 8 + 8y + -8y Combine like terms: -8y + -8y = -16y 19 + -16y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 19 + -16y = 8 + 0 19 + -16y = 8 Add '-19' to each side of the equation. 19 + -19 + -16y = 8 + -19 Combine like terms: 19 + -19 = 0 0 + -16y = 8 + -19 -16y = 8 + -19 Combine like terms: 8 + -19 = -11 -16y = -11 Divide each side by '-16'. y = 0.6875 Simplifying y = 0.6875
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