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Simplifying 2(y + 2) = -3(2y + -6) + -5 Reorder the terms: 2(2 + y) = -3(2y + -6) + -5 (2 * 2 + y * 2) = -3(2y + -6) + -5 (4 + 2y) = -3(2y + -6) + -5 Reorder the terms: 4 + 2y = -3(-6 + 2y) + -5 4 + 2y = (-6 * -3 + 2y * -3) + -5 4 + 2y = (18 + -6y) + -5 Reorder the terms: 4 + 2y = 18 + -5 + -6y Combine like terms: 18 + -5 = 13 4 + 2y = 13 + -6y Solving 4 + 2y = 13 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 4 + 2y + 6y = 13 + -6y + 6y Combine like terms: 2y + 6y = 8y 4 + 8y = 13 + -6y + 6y Combine like terms: -6y + 6y = 0 4 + 8y = 13 + 0 4 + 8y = 13 Add '-4' to each side of the equation. 4 + -4 + 8y = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 13 + -4 8y = 13 + -4 Combine like terms: 13 + -4 = 9 8y = 9 Divide each side by '8'. y = 1.125 Simplifying y = 1.125
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