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Simplifying -5y + 4(-1y + 9) + -7(7 + 3y) = 47 Reorder the terms: -5y + 4(9 + -1y) + -7(7 + 3y) = 47 -5y + (9 * 4 + -1y * 4) + -7(7 + 3y) = 47 -5y + (36 + -4y) + -7(7 + 3y) = 47 -5y + 36 + -4y + (7 * -7 + 3y * -7) = 47 -5y + 36 + -4y + (-49 + -21y) = 47 Reorder the terms: 36 + -49 + -5y + -4y + -21y = 47 Combine like terms: 36 + -49 = -13 -13 + -5y + -4y + -21y = 47 Combine like terms: -5y + -4y = -9y -13 + -9y + -21y = 47 Combine like terms: -9y + -21y = -30y -13 + -30y = 47 Solving -13 + -30y = 47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -30y = 47 + 13 Combine like terms: -13 + 13 = 0 0 + -30y = 47 + 13 -30y = 47 + 13 Combine like terms: 47 + 13 = 60 -30y = 60 Divide each side by '-30'. y = -2 Simplifying y = -2
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