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Simplifying -5y + -2(1y + 8) = -7 + 4(5 + -1y) Reorder the terms: -5y + -2(8 + 1y) = -7 + 4(5 + -1y) -5y + (8 * -2 + 1y * -2) = -7 + 4(5 + -1y) -5y + (-16 + -2y) = -7 + 4(5 + -1y) Reorder the terms: -16 + -5y + -2y = -7 + 4(5 + -1y) Combine like terms: -5y + -2y = -7y -16 + -7y = -7 + 4(5 + -1y) -16 + -7y = -7 + (5 * 4 + -1y * 4) -16 + -7y = -7 + (20 + -4y) Combine like terms: -7 + 20 = 13 -16 + -7y = 13 + -4y Solving -16 + -7y = 13 + -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. -16 + -7y + 4y = 13 + -4y + 4y Combine like terms: -7y + 4y = -3y -16 + -3y = 13 + -4y + 4y Combine like terms: -4y + 4y = 0 -16 + -3y = 13 + 0 -16 + -3y = 13 Add '16' to each side of the equation. -16 + 16 + -3y = 13 + 16 Combine like terms: -16 + 16 = 0 0 + -3y = 13 + 16 -3y = 13 + 16 Combine like terms: 13 + 16 = 29 -3y = 29 Divide each side by '-3'. y = -9.666666667 Simplifying y = -9.666666667
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