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Simplifying 2(2y + 7) + -9y = -2(3 + -5y) + 5 Reorder the terms: 2(7 + 2y) + -9y = -2(3 + -5y) + 5 (7 * 2 + 2y * 2) + -9y = -2(3 + -5y) + 5 (14 + 4y) + -9y = -2(3 + -5y) + 5 Combine like terms: 4y + -9y = -5y 14 + -5y = -2(3 + -5y) + 5 14 + -5y = (3 * -2 + -5y * -2) + 5 14 + -5y = (-6 + 10y) + 5 Reorder the terms: 14 + -5y = -6 + 5 + 10y Combine like terms: -6 + 5 = -1 14 + -5y = -1 + 10y Solving 14 + -5y = -1 + 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. 14 + -5y + -10y = -1 + 10y + -10y Combine like terms: -5y + -10y = -15y 14 + -15y = -1 + 10y + -10y Combine like terms: 10y + -10y = 0 14 + -15y = -1 + 0 14 + -15y = -1 Add '-14' to each side of the equation. 14 + -14 + -15y = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -15y = -1 + -14 -15y = -1 + -14 Combine like terms: -1 + -14 = -15 -15y = -15 Divide each side by '-15'. y = 1 Simplifying y = 1
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