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Simplifying 5(2y + 2) = 3(6y + -9) Reorder the terms: 5(2 + 2y) = 3(6y + -9) (2 * 5 + 2y * 5) = 3(6y + -9) (10 + 10y) = 3(6y + -9) Reorder the terms: 10 + 10y = 3(-9 + 6y) 10 + 10y = (-9 * 3 + 6y * 3) 10 + 10y = (-27 + 18y) Solving 10 + 10y = -27 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 10 + 10y + -18y = -27 + 18y + -18y Combine like terms: 10y + -18y = -8y 10 + -8y = -27 + 18y + -18y Combine like terms: 18y + -18y = 0 10 + -8y = -27 + 0 10 + -8y = -27 Add '-10' to each side of the equation. 10 + -10 + -8y = -27 + -10 Combine like terms: 10 + -10 = 0 0 + -8y = -27 + -10 -8y = -27 + -10 Combine like terms: -27 + -10 = -37 -8y = -37 Divide each side by '-8'. y = 4.625 Simplifying y = 4.625
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