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Simplifying 5 + 2(y + 4) = 5(y + -3) + 10 Reorder the terms: 5 + 2(4 + y) = 5(y + -3) + 10 5 + (4 * 2 + y * 2) = 5(y + -3) + 10 5 + (8 + 2y) = 5(y + -3) + 10 Combine like terms: 5 + 8 = 13 13 + 2y = 5(y + -3) + 10 Reorder the terms: 13 + 2y = 5(-3 + y) + 10 13 + 2y = (-3 * 5 + y * 5) + 10 13 + 2y = (-15 + 5y) + 10 Reorder the terms: 13 + 2y = -15 + 10 + 5y Combine like terms: -15 + 10 = -5 13 + 2y = -5 + 5y Solving 13 + 2y = -5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 13 + 2y + -5y = -5 + 5y + -5y Combine like terms: 2y + -5y = -3y 13 + -3y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + -3y = -5 + 0 13 + -3y = -5 Add '-13' to each side of the equation. 13 + -13 + -3y = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = -5 + -13 -3y = -5 + -13 Combine like terms: -5 + -13 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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