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Simplifying -7 = -5y + 4 + (-1y + 9) + -7(7 + 3y) Reorder the terms: -7 = -5y + 4 + (9 + -1y) + -7(7 + 3y) Remove parenthesis around (9 + -1y) -7 = -5y + 4 + 9 + -1y + -7(7 + 3y) -7 = -5y + 4 + 9 + -1y + (7 * -7 + 3y * -7) -7 = -5y + 4 + 9 + -1y + (-49 + -21y) Reorder the terms: -7 = 4 + 9 + -49 + -5y + -1y + -21y Combine like terms: 4 + 9 = 13 -7 = 13 + -49 + -5y + -1y + -21y Combine like terms: 13 + -49 = -36 -7 = -36 + -5y + -1y + -21y Combine like terms: -5y + -1y = -6y -7 = -36 + -6y + -21y Combine like terms: -6y + -21y = -27y -7 = -36 + -27y Solving -7 = -36 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -7 + 27y = -36 + -27y + 27y Combine like terms: -27y + 27y = 0 -7 + 27y = -36 + 0 -7 + 27y = -36 Add '7' to each side of the equation. -7 + 7 + 27y = -36 + 7 Combine like terms: -7 + 7 = 0 0 + 27y = -36 + 7 27y = -36 + 7 Combine like terms: -36 + 7 = -29 27y = -29 Divide each side by '27'. y = -1.074074074 Simplifying y = -1.074074074
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