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Simplifying 4(y + -2) = 9y + 27 Reorder the terms: 4(-2 + y) = 9y + 27 (-2 * 4 + y * 4) = 9y + 27 (-8 + 4y) = 9y + 27 Reorder the terms: -8 + 4y = 27 + 9y Solving -8 + 4y = 27 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -8 + 4y + -9y = 27 + 9y + -9y Combine like terms: 4y + -9y = -5y -8 + -5y = 27 + 9y + -9y Combine like terms: 9y + -9y = 0 -8 + -5y = 27 + 0 -8 + -5y = 27 Add '8' to each side of the equation. -8 + 8 + -5y = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = 27 + 8 -5y = 27 + 8 Combine like terms: 27 + 8 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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