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Simplifying 9y + -2 = 5(2y + -4) Reorder the terms: -2 + 9y = 5(2y + -4) Reorder the terms: -2 + 9y = 5(-4 + 2y) -2 + 9y = (-4 * 5 + 2y * 5) -2 + 9y = (-20 + 10y) Solving -2 + 9y = -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. -2 + 9y + -10y = -20 + 10y + -10y Combine like terms: 9y + -10y = -1y -2 + -1y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 -2 + -1y = -20 + 0 -2 + -1y = -20 Add '2' to each side of the equation. -2 + 2 + -1y = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = -20 + 2 -1y = -20 + 2 Combine like terms: -20 + 2 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18
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