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Simplifying -7 = -54 + 4(-1y + 9) + -7(7 + 3y) Reorder the terms: -7 = -54 + 4(9 + -1y) + -7(7 + 3y) -7 = -54 + (9 * 4 + -1y * 4) + -7(7 + 3y) -7 = -54 + (36 + -4y) + -7(7 + 3y) -7 = -54 + 36 + -4y + (7 * -7 + 3y * -7) -7 = -54 + 36 + -4y + (-49 + -21y) Reorder the terms: -7 = -54 + 36 + -49 + -4y + -21y Combine like terms: -54 + 36 = -18 -7 = -18 + -49 + -4y + -21y Combine like terms: -18 + -49 = -67 -7 = -67 + -4y + -21y Combine like terms: -4y + -21y = -25y -7 = -67 + -25y Solving -7 = -67 + -25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25y' to each side of the equation. -7 + 25y = -67 + -25y + 25y Combine like terms: -25y + 25y = 0 -7 + 25y = -67 + 0 -7 + 25y = -67 Add '7' to each side of the equation. -7 + 7 + 25y = -67 + 7 Combine like terms: -7 + 7 = 0 0 + 25y = -67 + 7 25y = -67 + 7 Combine like terms: -67 + 7 = -60 25y = -60 Divide each side by '25'. y = -2.4 Simplifying y = -2.4
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