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Simplifying 3(y + -2) = 8(y + -2) Reorder the terms: 3(-2 + y) = 8(y + -2) (-2 * 3 + y * 3) = 8(y + -2) (-6 + 3y) = 8(y + -2) Reorder the terms: -6 + 3y = 8(-2 + y) -6 + 3y = (-2 * 8 + y * 8) -6 + 3y = (-16 + 8y) Solving -6 + 3y = -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. -6 + 3y + -8y = -16 + 8y + -8y Combine like terms: 3y + -8y = -5y -6 + -5y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -5y = -16 + 0 -6 + -5y = -16 Add '6' to each side of the equation. -6 + 6 + -5y = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -5y = -16 + 6 -5y = -16 + 6 Combine like terms: -16 + 6 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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