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Simplifying 5y + -1 = 8(y + -2) Reorder the terms: -1 + 5y = 8(y + -2) Reorder the terms: -1 + 5y = 8(-2 + y) -1 + 5y = (-2 * 8 + y * 8) -1 + 5y = (-16 + 8y) Solving -1 + 5y = -16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -1 + 5y + -8y = -16 + 8y + -8y Combine like terms: 5y + -8y = -3y -1 + -3y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -1 + -3y = -16 + 0 -1 + -3y = -16 Add '1' to each side of the equation. -1 + 1 + -3y = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = -16 + 1 -3y = -16 + 1 Combine like terms: -16 + 1 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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