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Simplifying 7 + -3(3y + -2) = 8 + -4y Reorder the terms: 7 + -3(-2 + 3y) = 8 + -4y 7 + (-2 * -3 + 3y * -3) = 8 + -4y 7 + (6 + -9y) = 8 + -4y Combine like terms: 7 + 6 = 13 13 + -9y = 8 + -4y Solving 13 + -9y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 13 + -9y + 4y = 8 + -4y + 4y Combine like terms: -9y + 4y = -5y 13 + -5y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 13 + -5y = 8 + 0 13 + -5y = 8 Add '-13' to each side of the equation. 13 + -13 + -5y = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5y = 8 + -13 -5y = 8 + -13 Combine like terms: 8 + -13 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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