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Simplifying 4(y + 2) + 1 = -5(3 + -2y) Reorder the terms: 4(2 + y) + 1 = -5(3 + -2y) (2 * 4 + y * 4) + 1 = -5(3 + -2y) (8 + 4y) + 1 = -5(3 + -2y) Reorder the terms: 8 + 1 + 4y = -5(3 + -2y) Combine like terms: 8 + 1 = 9 9 + 4y = -5(3 + -2y) 9 + 4y = (3 * -5 + -2y * -5) 9 + 4y = (-15 + 10y) Solving 9 + 4y = -15 + 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. 9 + 4y + -10y = -15 + 10y + -10y Combine like terms: 4y + -10y = -6y 9 + -6y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -6y = -15 + 0 9 + -6y = -15 Add '-9' to each side of the equation. 9 + -9 + -6y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6y = -15 + -9 -6y = -15 + -9 Combine like terms: -15 + -9 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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